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Finding the Third Proportional to 475,348 and 691,566

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Solution

The third proportional to 475,348 and 691,566 is: 1,006,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,348 : 691,566 = 691,566 : x
  2. Step 2: Convert to fraction form
    475,348/691,566 = 691,566/x
  3. Step 3: Cross multiply
    475,348x = 691,566 × 691,566
  4. Step 4: Simplify right side
    475,348x = 478,263,532,356
  5. Step 5: Solve for x
    x = 478,263,532,356/475,348
  6. Step 6: Final answer
    x = 1,006,133.47

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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.