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Finding the Third Proportional to 522,296 and 781,464

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Solution

The third proportional to 522,296 and 781,464 is: 1,169,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,296 : 781,464 = 781,464 : x
  2. Step 2: Convert to fraction form
    522,296/781,464 = 781,464/x
  3. Step 3: Cross multiply
    522,296x = 781,464 × 781,464
  4. Step 4: Simplify right side
    522,296x = 610,685,983,296
  5. Step 5: Solve for x
    x = 610,685,983,296/522,296
  6. Step 6: Final answer
    x = 1,169,233.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.