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Finding the Third Proportional to 566,052 and 769,158

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Solution

The third proportional to 566,052 and 769,158 is: 1,045,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,052 : 769,158 = 769,158 : x
  2. Step 2: Convert to fraction form
    566,052/769,158 = 769,158/x
  3. Step 3: Cross multiply
    566,052x = 769,158 × 769,158
  4. Step 4: Simplify right side
    566,052x = 591,604,028,964
  5. Step 5: Solve for x
    x = 591,604,028,964/566,052
  6. Step 6: Final answer
    x = 1,045,140.78

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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.