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Finding the Third Proportional to 332,648 and 711,952

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Solution

The third proportional to 332,648 and 711,952 is: 1,523,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,648 : 711,952 = 711,952 : x
  2. Step 2: Convert to fraction form
    332,648/711,952 = 711,952/x
  3. Step 3: Cross multiply
    332,648x = 711,952 × 711,952
  4. Step 4: Simplify right side
    332,648x = 506,875,650,304
  5. Step 5: Solve for x
    x = 506,875,650,304/332,648
  6. Step 6: Final answer
    x = 1,523,759.80

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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.