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Finding the Third Proportional to 580,871.25 and 1,253,515.50

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Solution

The third proportional to 580,871.25 and 1,253,515.50 is: 2,705,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,871.25 : 1,253,515.50 = 1,253,515.50 : x
  2. Step 2: Convert to fraction form
    580,871.25/1,253,515.50 = 1,253,515.50/x
  3. Step 3: Cross multiply
    580,871.25x = 1,253,515.50 × 1,253,515.50
  4. Step 4: Simplify right side
    580,871.25x = 1,571,301,108,740.25
  5. Step 5: Solve for x
    x = 1,571,301,108,740.25/580,871.25
  6. Step 6: Final answer
    x = 2,705,076.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.