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Finding the Third Proportional to 677,549 and 903,292

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Solution

The third proportional to 677,549 and 903,292 is: 1,204,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,549 : 903,292 = 903,292 : x
  2. Step 2: Convert to fraction form
    677,549/903,292 = 903,292/x
  3. Step 3: Cross multiply
    677,549x = 903,292 × 903,292
  4. Step 4: Simplify right side
    677,549x = 815,936,437,264
  5. Step 5: Solve for x
    x = 815,936,437,264/677,549
  6. Step 6: Final answer
    x = 1,204,247.13

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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.