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Finding the Third Proportional to 467,769 and 753,331.50

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Solution

The third proportional to 467,769 and 753,331.50 is: 1,213,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,769 : 753,331.50 = 753,331.50 : x
  2. Step 2: Convert to fraction form
    467,769/753,331.50 = 753,331.50/x
  3. Step 3: Cross multiply
    467,769x = 753,331.50 × 753,331.50
  4. Step 4: Simplify right side
    467,769x = 567,508,348,892.25
  5. Step 5: Solve for x
    x = 567,508,348,892.25/467,769
  6. Step 6: Final answer
    x = 1,213,223.51

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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.