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Finding the Third Proportional to 677,150 and 898,902

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Solution

The third proportional to 677,150 and 898,902 is: 1,193,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,150 : 898,902 = 898,902 : x
  2. Step 2: Convert to fraction form
    677,150/898,902 = 898,902/x
  3. Step 3: Cross multiply
    677,150x = 898,902 × 898,902
  4. Step 4: Simplify right side
    677,150x = 808,024,805,604
  5. Step 5: Solve for x
    x = 808,024,805,604/677,150
  6. Step 6: Final answer
    x = 1,193,272.99

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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.