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Finding the Third Proportional to 467,960 and 753,624

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Solution

The third proportional to 467,960 and 753,624 is: 1,213,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,960 : 753,624 = 753,624 : x
  2. Step 2: Convert to fraction form
    467,960/753,624 = 753,624/x
  3. Step 3: Cross multiply
    467,960x = 753,624 × 753,624
  4. Step 4: Simplify right side
    467,960x = 567,949,133,376
  5. Step 5: Solve for x
    x = 567,949,133,376/467,960
  6. Step 6: Final answer
    x = 1,213,670.26

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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.