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Finding the Third Proportional to 349,120 and 760,448

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Solution

The third proportional to 349,120 and 760,448 is: 1,656,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,120 : 760,448 = 760,448 : x
  2. Step 2: Convert to fraction form
    349,120/760,448 = 760,448/x
  3. Step 3: Cross multiply
    349,120x = 760,448 × 760,448
  4. Step 4: Simplify right side
    349,120x = 578,281,160,704
  5. Step 5: Solve for x
    x = 578,281,160,704/349,120
  6. Step 6: Final answer
    x = 1,656,396.54

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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.