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Finding the Third Proportional to 467,729 and 753,277

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Solution

The third proportional to 467,729 and 753,277 is: 1,213,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,729 : 753,277 = 753,277 : x
  2. Step 2: Convert to fraction form
    467,729/753,277 = 753,277/x
  3. Step 3: Cross multiply
    467,729x = 753,277 × 753,277
  4. Step 4: Simplify right side
    467,729x = 567,426,238,729
  5. Step 5: Solve for x
    x = 567,426,238,729/467,729
  6. Step 6: Final answer
    x = 1,213,151.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.