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Finding the Third Proportional to 478,614 and 741,000

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Solution

The third proportional to 478,614 and 741,000 is: 1,147,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,614 : 741,000 = 741,000 : x
  2. Step 2: Convert to fraction form
    478,614/741,000 = 741,000/x
  3. Step 3: Cross multiply
    478,614x = 741,000 × 741,000
  4. Step 4: Simplify right side
    478,614x = 549,081,000,000
  5. Step 5: Solve for x
    x = 549,081,000,000/478,614
  6. Step 6: Final answer
    x = 1,147,231.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.