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Finding the Third Proportional to 475,942 and 634,521

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Solution

The third proportional to 475,942 and 634,521 is: 845,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,942 : 634,521 = 634,521 : x
  2. Step 2: Convert to fraction form
    475,942/634,521 = 634,521/x
  3. Step 3: Cross multiply
    475,942x = 634,521 × 634,521
  4. Step 4: Simplify right side
    475,942x = 402,616,899,441
  5. Step 5: Solve for x
    x = 402,616,899,441/475,942
  6. Step 6: Final answer
    x = 845,936.90

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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.