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Finding the Third Proportional to 516,100 and 781,926

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Solution

The third proportional to 516,100 and 781,926 is: 1,184,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,100 : 781,926 = 781,926 : x
  2. Step 2: Convert to fraction form
    516,100/781,926 = 781,926/x
  3. Step 3: Cross multiply
    516,100x = 781,926 × 781,926
  4. Step 4: Simplify right side
    516,100x = 611,408,269,476
  5. Step 5: Solve for x
    x = 611,408,269,476/516,100
  6. Step 6: Final answer
    x = 1,184,670.16

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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.