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Finding the Third Proportional to 332,736 and 721,528

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Solution

The third proportional to 332,736 and 721,528 is: 1,564,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,736 : 721,528 = 721,528 : x
  2. Step 2: Convert to fraction form
    332,736/721,528 = 721,528/x
  3. Step 3: Cross multiply
    332,736x = 721,528 × 721,528
  4. Step 4: Simplify right side
    332,736x = 520,602,654,784
  5. Step 5: Solve for x
    x = 520,602,654,784/332,736
  6. Step 6: Final answer
    x = 1,564,611.75

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Why These Related Problems?

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