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Finding the Third Proportional to 475,346 and 691,563

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Solution

The third proportional to 475,346 and 691,563 is: 1,006,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,346 : 691,563 = 691,563 : x
  2. Step 2: Convert to fraction form
    475,346/691,563 = 691,563/x
  3. Step 3: Cross multiply
    475,346x = 691,563 × 691,563
  4. Step 4: Simplify right side
    475,346x = 478,259,382,969
  5. Step 5: Solve for x
    x = 478,259,382,969/475,346
  6. Step 6: Final answer
    x = 1,006,128.97

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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.