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Finding the Third Proportional to 467,872 and 753,486

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Solution

The third proportional to 467,872 and 753,486 is: 1,213,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,872 : 753,486 = 753,486 : x
  2. Step 2: Convert to fraction form
    467,872/753,486 = 753,486/x
  3. Step 3: Cross multiply
    467,872x = 753,486 × 753,486
  4. Step 4: Simplify right side
    467,872x = 567,741,152,196
  5. Step 5: Solve for x
    x = 567,741,152,196/467,872
  6. Step 6: Final answer
    x = 1,213,454.00

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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.