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Finding the Third Proportional to 345,066.75 and 464,626.13

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Solution

The third proportional to 345,066.75 and 464,626.13 is: 625,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,066.75 : 464,626.13 = 464,626.13 : x
  2. Step 2: Convert to fraction form
    345,066.75/464,626.13 = 464,626.13/x
  3. Step 3: Cross multiply
    345,066.75x = 464,626.13 × 464,626.13
  4. Step 4: Simplify right side
    345,066.75x = 215,877,436,032.52
  5. Step 5: Solve for x
    x = 215,877,436,032.52/345,066.75
  6. Step 6: Final answer
    x = 625,610.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.