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Finding the Third Proportional to 348,391.13 and 516,111.75

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Solution

The third proportional to 348,391.13 and 516,111.75 is: 764,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,391.13 : 516,111.75 = 516,111.75 : x
  2. Step 2: Convert to fraction form
    348,391.13/516,111.75 = 516,111.75/x
  3. Step 3: Cross multiply
    348,391.13x = 516,111.75 × 516,111.75
  4. Step 4: Simplify right side
    348,391.13x = 266,371,338,488.06
  5. Step 5: Solve for x
    x = 266,371,338,488.06/348,391.13
  6. Step 6: Final answer
    x = 764,575.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.