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Finding the Third Proportional to 358,626 and 527,555

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Solution

The third proportional to 358,626 and 527,555 is: 776,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,626 : 527,555 = 527,555 : x
  2. Step 2: Convert to fraction form
    358,626/527,555 = 527,555/x
  3. Step 3: Cross multiply
    358,626x = 527,555 × 527,555
  4. Step 4: Simplify right side
    358,626x = 278,314,278,025
  5. Step 5: Solve for x
    x = 278,314,278,025/358,626
  6. Step 6: Final answer
    x = 776,057.17

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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.