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Finding the Third Proportional to 332,724 and 721,498

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Solution

The third proportional to 332,724 and 721,498 is: 1,564,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,724 : 721,498 = 721,498 : x
  2. Step 2: Convert to fraction form
    332,724/721,498 = 721,498/x
  3. Step 3: Cross multiply
    332,724x = 721,498 × 721,498
  4. Step 4: Simplify right side
    332,724x = 520,559,364,004
  5. Step 5: Solve for x
    x = 520,559,364,004/332,724
  6. Step 6: Final answer
    x = 1,564,538.07

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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.