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Finding the Third Proportional to 418,891 and 904,195.50

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Solution

The third proportional to 418,891 and 904,195.50 is: 1,951,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,891 : 904,195.50 = 904,195.50 : x
  2. Step 2: Convert to fraction form
    418,891/904,195.50 = 904,195.50/x
  3. Step 3: Cross multiply
    418,891x = 904,195.50 × 904,195.50
  4. Step 4: Simplify right side
    418,891x = 817,569,502,220.25
  5. Step 5: Solve for x
    x = 817,569,502,220.25/418,891
  6. Step 6: Final answer
    x = 1,951,747.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.