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Finding the Third Proportional to 572,177.25 and 840,749.25

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Solution

The third proportional to 572,177.25 and 840,749.25 is: 1,235,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,177.25 : 840,749.25 = 840,749.25 : x
  2. Step 2: Convert to fraction form
    572,177.25/840,749.25 = 840,749.25/x
  3. Step 3: Cross multiply
    572,177.25x = 840,749.25 × 840,749.25
  4. Step 4: Simplify right side
    572,177.25x = 706,859,301,375.56
  5. Step 5: Solve for x
    x = 706,859,301,375.56/572,177.25
  6. Step 6: Final answer
    x = 1,235,385.19

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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.