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Finding the Third Proportional to 676,881 and 898,498

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Solution

The third proportional to 676,881 and 898,498 is: 1,192,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,881 : 898,498 = 898,498 : x
  2. Step 2: Convert to fraction form
    676,881/898,498 = 898,498/x
  3. Step 3: Cross multiply
    676,881x = 898,498 × 898,498
  4. Step 4: Simplify right side
    676,881x = 807,298,656,004
  5. Step 5: Solve for x
    x = 807,298,656,004/676,881
  6. Step 6: Final answer
    x = 1,192,674.42

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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.