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Finding the Third Proportional to 475,366 and 713,151

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Solution

The third proportional to 475,366 and 713,151 is: 1,069,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,366 : 713,151 = 713,151 : x
  2. Step 2: Convert to fraction form
    475,366/713,151 = 713,151/x
  3. Step 3: Cross multiply
    475,366x = 713,151 × 713,151
  4. Step 4: Simplify right side
    475,366x = 508,584,348,801
  5. Step 5: Solve for x
    x = 508,584,348,801/475,366
  6. Step 6: Final answer
    x = 1,069,879.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.