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Finding the Third Proportional to 332,662 and 712,952

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Solution

The third proportional to 332,662 and 712,952 is: 1,527,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,662 : 712,952 = 712,952 : x
  2. Step 2: Convert to fraction form
    332,662/712,952 = 712,952/x
  3. Step 3: Cross multiply
    332,662x = 712,952 × 712,952
  4. Step 4: Simplify right side
    332,662x = 508,300,554,304
  5. Step 5: Solve for x
    x = 508,300,554,304/332,662
  6. Step 6: Final answer
    x = 1,527,979.01

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