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Finding the Third Proportional to 566,040 and 769,140

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Solution

The third proportional to 566,040 and 769,140 is: 1,045,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,040 : 769,140 = 769,140 : x
  2. Step 2: Convert to fraction form
    566,040/769,140 = 769,140/x
  3. Step 3: Cross multiply
    566,040x = 769,140 × 769,140
  4. Step 4: Simplify right side
    566,040x = 591,576,339,600
  5. Step 5: Solve for x
    x = 591,576,339,600/566,040
  6. Step 6: Final answer
    x = 1,045,114.02

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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.