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Finding the Third Proportional to 617,952 and 827,664

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Solution

The third proportional to 617,952 and 827,664 is: 1,108,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,952 : 827,664 = 827,664 : x
  2. Step 2: Convert to fraction form
    617,952/827,664 = 827,664/x
  3. Step 3: Cross multiply
    617,952x = 827,664 × 827,664
  4. Step 4: Simplify right side
    617,952x = 685,027,696,896
  5. Step 5: Solve for x
    x = 685,027,696,896/617,952
  6. Step 6: Final answer
    x = 1,108,545.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.