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Finding the Third Proportional to 522,512 and 781,740

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Solution

The third proportional to 522,512 and 781,740 is: 1,169,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,512 : 781,740 = 781,740 : x
  2. Step 2: Convert to fraction form
    522,512/781,740 = 781,740/x
  3. Step 3: Cross multiply
    522,512x = 781,740 × 781,740
  4. Step 4: Simplify right side
    522,512x = 611,117,427,600
  5. Step 5: Solve for x
    x = 611,117,427,600/522,512
  6. Step 6: Final answer
    x = 1,169,575.87

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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.