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Finding the Third Proportional to 568,516 and 781,062

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Solution

The third proportional to 568,516 and 781,062 is: 1,073,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,516 : 781,062 = 781,062 : x
  2. Step 2: Convert to fraction form
    568,516/781,062 = 781,062/x
  3. Step 3: Cross multiply
    568,516x = 781,062 × 781,062
  4. Step 4: Simplify right side
    568,516x = 610,057,847,844
  5. Step 5: Solve for x
    x = 610,057,847,844/568,516
  6. Step 6: Final answer
    x = 1,073,070.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.