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Finding the Third Proportional to 478,469 and 781,856

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Solution

The third proportional to 478,469 and 781,856 is: 1,277,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,469 : 781,856 = 781,856 : x
  2. Step 2: Convert to fraction form
    478,469/781,856 = 781,856/x
  3. Step 3: Cross multiply
    478,469x = 781,856 × 781,856
  4. Step 4: Simplify right side
    478,469x = 611,298,804,736
  5. Step 5: Solve for x
    x = 611,298,804,736/478,469
  6. Step 6: Final answer
    x = 1,277,614.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.