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Finding the Third Proportional to 349,122 and 760,452

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Solution

The third proportional to 349,122 and 760,452 is: 1,656,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,122 : 760,452 = 760,452 : x
  2. Step 2: Convert to fraction form
    349,122/760,452 = 760,452/x
  3. Step 3: Cross multiply
    349,122x = 760,452 × 760,452
  4. Step 4: Simplify right side
    349,122x = 578,287,244,304
  5. Step 5: Solve for x
    x = 578,287,244,304/349,122
  6. Step 6: Final answer
    x = 1,656,404.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.