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Finding the Third Proportional to 572,178.50 and 840,751

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Solution

The third proportional to 572,178.50 and 840,751 is: 1,235,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,178.50 : 840,751 = 840,751 : x
  2. Step 2: Convert to fraction form
    572,178.50/840,751 = 840,751/x
  3. Step 3: Cross multiply
    572,178.50x = 840,751 × 840,751
  4. Step 4: Simplify right side
    572,178.50x = 706,862,244,001
  5. Step 5: Solve for x
    x = 706,862,244,001/572,178.50
  6. Step 6: Final answer
    x = 1,235,387.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.