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Finding the Third Proportional to 253,869.19 and 551,503.69

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Solution

The third proportional to 253,869.19 and 551,503.69 is: 1,198,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,869.19 : 551,503.69 = 551,503.69 : x
  2. Step 2: Convert to fraction form
    253,869.19/551,503.69 = 551,503.69/x
  3. Step 3: Cross multiply
    253,869.19x = 551,503.69 × 551,503.69
  4. Step 4: Simplify right side
    253,869.19x = 304,156,317,326.10
  5. Step 5: Solve for x
    x = 304,156,317,326.10/253,869.19
  6. Step 6: Final answer
    x = 1,198,082.84

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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.