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Finding the Third Proportional to 341,769.38 and 747,974.25

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Solution

The third proportional to 341,769.38 and 747,974.25 is: 1,636,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,769.38 : 747,974.25 = 747,974.25 : x
  2. Step 2: Convert to fraction form
    341,769.38/747,974.25 = 747,974.25/x
  3. Step 3: Cross multiply
    341,769.38x = 747,974.25 × 747,974.25
  4. Step 4: Simplify right side
    341,769.38x = 559,465,478,663.06
  5. Step 5: Solve for x
    x = 559,465,478,663.06/341,769.38
  6. Step 6: Final answer
    x = 1,636,967.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.