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Finding the Third Proportional to 332,718 and 721,486

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Solution

The third proportional to 332,718 and 721,486 is: 1,564,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,718 : 721,486 = 721,486 : x
  2. Step 2: Convert to fraction form
    332,718/721,486 = 721,486/x
  3. Step 3: Cross multiply
    332,718x = 721,486 × 721,486
  4. Step 4: Simplify right side
    332,718x = 520,542,048,196
  5. Step 5: Solve for x
    x = 520,542,048,196/332,718
  6. Step 6: Final answer
    x = 1,564,514.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.