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Finding the Third Proportional to 467,738 and 753,285

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Solution

The third proportional to 467,738 and 753,285 is: 1,213,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,738 : 753,285 = 753,285 : x
  2. Step 2: Convert to fraction form
    467,738/753,285 = 753,285/x
  3. Step 3: Cross multiply
    467,738x = 753,285 × 753,285
  4. Step 4: Simplify right side
    467,738x = 567,438,291,225
  5. Step 5: Solve for x
    x = 567,438,291,225/467,738
  6. Step 6: Final answer
    x = 1,213,154.14

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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.