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Finding the Third Proportional to 578,022 and 767,169

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Solution

The third proportional to 578,022 and 767,169 is: 1,018,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,022 : 767,169 = 767,169 : x
  2. Step 2: Convert to fraction form
    578,022/767,169 = 767,169/x
  3. Step 3: Cross multiply
    578,022x = 767,169 × 767,169
  4. Step 4: Simplify right side
    578,022x = 588,548,274,561
  5. Step 5: Solve for x
    x = 588,548,274,561/578,022
  6. Step 6: Final answer
    x = 1,018,210.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.