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Finding the Third Proportional to 332,458 and 712,544

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Solution

The third proportional to 332,458 and 712,544 is: 1,527,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,458 : 712,544 = 712,544 : x
  2. Step 2: Convert to fraction form
    332,458/712,544 = 712,544/x
  3. Step 3: Cross multiply
    332,458x = 712,544 × 712,544
  4. Step 4: Simplify right side
    332,458x = 507,718,951,936
  5. Step 5: Solve for x
    x = 507,718,951,936/332,458
  6. Step 6: Final answer
    x = 1,527,167.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.