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Finding the Third Proportional to 527,416 and 781,256

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Solution

The third proportional to 527,416 and 781,256 is: 1,157,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,416 : 781,256 = 781,256 : x
  2. Step 2: Convert to fraction form
    527,416/781,256 = 781,256/x
  3. Step 3: Cross multiply
    527,416x = 781,256 × 781,256
  4. Step 4: Simplify right side
    527,416x = 610,360,937,536
  5. Step 5: Solve for x
    x = 610,360,937,536/527,416
  6. Step 6: Final answer
    x = 1,157,266.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.