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Finding the Third Proportional to 368,419 and 585,841.50

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Solution

The third proportional to 368,419 and 585,841.50 is: 931,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,419 : 585,841.50 = 585,841.50 : x
  2. Step 2: Convert to fraction form
    368,419/585,841.50 = 585,841.50/x
  3. Step 3: Cross multiply
    368,419x = 585,841.50 × 585,841.50
  4. Step 4: Simplify right side
    368,419x = 343,210,263,122.25
  5. Step 5: Solve for x
    x = 343,210,263,122.25/368,419
  6. Step 6: Final answer
    x = 931,575.90

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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.