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Finding the Third Proportional to 475,846 and 652,497

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Solution

The third proportional to 475,846 and 652,497 is: 894,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,846 : 652,497 = 652,497 : x
  2. Step 2: Convert to fraction form
    475,846/652,497 = 652,497/x
  3. Step 3: Cross multiply
    475,846x = 652,497 × 652,497
  4. Step 4: Simplify right side
    475,846x = 425,752,335,009
  5. Step 5: Solve for x
    x = 425,752,335,009/475,846
  6. Step 6: Final answer
    x = 894,727.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.