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Finding the Third Proportional to 475,322 and 691,581

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Solution

The third proportional to 475,322 and 691,581 is: 1,006,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,322 : 691,581 = 691,581 : x
  2. Step 2: Convert to fraction form
    475,322/691,581 = 691,581/x
  3. Step 3: Cross multiply
    475,322x = 691,581 × 691,581
  4. Step 4: Simplify right side
    475,322x = 478,284,279,561
  5. Step 5: Solve for x
    x = 478,284,279,561/475,322
  6. Step 6: Final answer
    x = 1,006,232.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.