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Finding the Third Proportional to 475,976 and 634,564

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Solution

The third proportional to 475,976 and 634,564 is: 845,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,976 : 634,564 = 634,564 : x
  2. Step 2: Convert to fraction form
    475,976/634,564 = 634,564/x
  3. Step 3: Cross multiply
    475,976x = 634,564 × 634,564
  4. Step 4: Simplify right side
    475,976x = 402,671,470,096
  5. Step 5: Solve for x
    x = 402,671,470,096/475,976
  6. Step 6: Final answer
    x = 845,991.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.