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Finding the Third Proportional to 418,615.50 and 908,127

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Solution

The third proportional to 418,615.50 and 908,127 is: 1,970,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,615.50 : 908,127 = 908,127 : x
  2. Step 2: Convert to fraction form
    418,615.50/908,127 = 908,127/x
  3. Step 3: Cross multiply
    418,615.50x = 908,127 × 908,127
  4. Step 4: Simplify right side
    418,615.50x = 824,694,648,129
  5. Step 5: Solve for x
    x = 824,694,648,129/418,615.50
  6. Step 6: Final answer
    x = 1,970,052.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.