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Finding the Third Proportional to 580,080,460.50 and 920,043,623.25

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Solution

The third proportional to 580,080,460.50 and 920,043,623.25 is: 1,459,246,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,080,460.50 : 920,043,623.25 = 920,043,623.25 : x
  2. Step 2: Convert to fraction form
    580,080,460.50/920,043,623.25 = 920,043,623.25/x
  3. Step 3: Cross multiply
    580,080,460.50x = 920,043,623.25 × 920,043,623.25
  4. Step 4: Simplify right side
    580,080,460.50x = 846,480,268,682,987,904
  5. Step 5: Solve for x
    x = 846,480,268,682,987,904/580,080,460.50
  6. Step 6: Final answer
    x = 1,459,246,305.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.