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Finding the Third Proportional to 516,010 and 781,800

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Solution

The third proportional to 516,010 and 781,800 is: 1,184,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,010 : 781,800 = 781,800 : x
  2. Step 2: Convert to fraction form
    516,010/781,800 = 781,800/x
  3. Step 3: Cross multiply
    516,010x = 781,800 × 781,800
  4. Step 4: Simplify right side
    516,010x = 611,211,240,000
  5. Step 5: Solve for x
    x = 611,211,240,000/516,010
  6. Step 6: Final answer
    x = 1,184,494.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.