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Finding the Third Proportional to 358,584 and 527,508

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Solution

The third proportional to 358,584 and 527,508 is: 776,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,584 : 527,508 = 527,508 : x
  2. Step 2: Convert to fraction form
    358,584/527,508 = 527,508/x
  3. Step 3: Cross multiply
    358,584x = 527,508 × 527,508
  4. Step 4: Simplify right side
    358,584x = 278,264,690,064
  5. Step 5: Solve for x
    x = 278,264,690,064/358,584
  6. Step 6: Final answer
    x = 776,009.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.