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Finding the Third Proportional to 349,644 and 741,120

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Solution

The third proportional to 349,644 and 741,120 is: 1,570,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,644 : 741,120 = 741,120 : x
  2. Step 2: Convert to fraction form
    349,644/741,120 = 741,120/x
  3. Step 3: Cross multiply
    349,644x = 741,120 × 741,120
  4. Step 4: Simplify right side
    349,644x = 549,258,854,400
  5. Step 5: Solve for x
    x = 549,258,854,400/349,644
  6. Step 6: Final answer
    x = 1,570,908.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.