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Finding the Third Proportional to 283,001.34 and 420,648.19

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Solution

The third proportional to 283,001.34 and 420,648.19 is: 625,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,001.34 : 420,648.19 = 420,648.19 : x
  2. Step 2: Convert to fraction form
    283,001.34/420,648.19 = 420,648.19/x
  3. Step 3: Cross multiply
    283,001.34x = 420,648.19 × 420,648.19
  4. Step 4: Simplify right side
    283,001.34x = 176,944,897,647.04
  5. Step 5: Solve for x
    x = 176,944,897,647.04/283,001.34
  6. Step 6: Final answer
    x = 625,244.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.