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Finding the Third Proportional to 358,906 and 521,654

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Solution

The third proportional to 358,906 and 521,654 is: 758,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,906 : 521,654 = 521,654 : x
  2. Step 2: Convert to fraction form
    358,906/521,654 = 521,654/x
  3. Step 3: Cross multiply
    358,906x = 521,654 × 521,654
  4. Step 4: Simplify right side
    358,906x = 272,122,895,716
  5. Step 5: Solve for x
    x = 272,122,895,716/358,906
  6. Step 6: Final answer
    x = 758,201.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.