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Finding the Third Proportional to 552,098 and 777,267

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Solution

The third proportional to 552,098 and 777,267 is: 1,094,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,098 : 777,267 = 777,267 : x
  2. Step 2: Convert to fraction form
    552,098/777,267 = 777,267/x
  3. Step 3: Cross multiply
    552,098x = 777,267 × 777,267
  4. Step 4: Simplify right side
    552,098x = 604,143,989,289
  5. Step 5: Solve for x
    x = 604,143,989,289/552,098
  6. Step 6: Final answer
    x = 1,094,269.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.