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Finding the Third Proportional to 397,572 and 602,676

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Solution

The third proportional to 397,572 and 602,676 is: 913,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,572 : 602,676 = 602,676 : x
  2. Step 2: Convert to fraction form
    397,572/602,676 = 602,676/x
  3. Step 3: Cross multiply
    397,572x = 602,676 × 602,676
  4. Step 4: Simplify right side
    397,572x = 363,218,360,976
  5. Step 5: Solve for x
    x = 363,218,360,976/397,572
  6. Step 6: Final answer
    x = 913,591.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.