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Finding the Third Proportional to 565,245 and 767,561

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Solution

The third proportional to 565,245 and 767,561 is: 1,042,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,245 : 767,561 = 767,561 : x
  2. Step 2: Convert to fraction form
    565,245/767,561 = 767,561/x
  3. Step 3: Cross multiply
    565,245x = 767,561 × 767,561
  4. Step 4: Simplify right side
    565,245x = 589,149,888,721
  5. Step 5: Solve for x
    x = 589,149,888,721/565,245
  6. Step 6: Final answer
    x = 1,042,291.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.