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Finding the Third Proportional to 572,740.31 and 849,202.88

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Solution

The third proportional to 572,740.31 and 849,202.88 is: 1,259,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,740.31 : 849,202.88 = 849,202.88 : x
  2. Step 2: Convert to fraction form
    572,740.31/849,202.88 = 849,202.88/x
  3. Step 3: Cross multiply
    572,740.31x = 849,202.88 × 849,202.88
  4. Step 4: Simplify right side
    572,740.31x = 721,145,522,908.27
  5. Step 5: Solve for x
    x = 721,145,522,908.27/572,740.31
  6. Step 6: Final answer
    x = 1,259,114.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.