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Finding the Third Proportional to 566,076 and 769,191

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Solution

The third proportional to 566,076 and 769,191 is: 1,045,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,076 : 769,191 = 769,191 : x
  2. Step 2: Convert to fraction form
    566,076/769,191 = 769,191/x
  3. Step 3: Cross multiply
    566,076x = 769,191 × 769,191
  4. Step 4: Simplify right side
    566,076x = 591,654,794,481
  5. Step 5: Solve for x
    x = 591,654,794,481/566,076
  6. Step 6: Final answer
    x = 1,045,186.15

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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.