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Finding the Third Proportional to 360,718.31 and 571,157.58

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Solution

The third proportional to 360,718.31 and 571,157.58 is: 904,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,718.31 : 571,157.58 = 571,157.58 : x
  2. Step 2: Convert to fraction form
    360,718.31/571,157.58 = 571,157.58/x
  3. Step 3: Cross multiply
    360,718.31x = 571,157.58 × 571,157.58
  4. Step 4: Simplify right side
    360,718.31x = 326,220,979,049.62
  5. Step 5: Solve for x
    x = 326,220,979,049.62/360,718.31
  6. Step 6: Final answer
    x = 904,364.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.