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Finding the Third Proportional to 332,716 and 721,483

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Solution

The third proportional to 332,716 and 721,483 is: 1,564,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,716 : 721,483 = 721,483 : x
  2. Step 2: Convert to fraction form
    332,716/721,483 = 721,483/x
  3. Step 3: Cross multiply
    332,716x = 721,483 × 721,483
  4. Step 4: Simplify right side
    332,716x = 520,537,719,289
  5. Step 5: Solve for x
    x = 520,537,719,289/332,716
  6. Step 6: Final answer
    x = 1,564,510.63

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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.