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Finding the Third Proportional to 676,884 and 898,500

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Solution

The third proportional to 676,884 and 898,500 is: 1,192,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,884 : 898,500 = 898,500 : x
  2. Step 2: Convert to fraction form
    676,884/898,500 = 898,500/x
  3. Step 3: Cross multiply
    676,884x = 898,500 × 898,500
  4. Step 4: Simplify right side
    676,884x = 807,302,250,000
  5. Step 5: Solve for x
    x = 807,302,250,000/676,884
  6. Step 6: Final answer
    x = 1,192,674.45

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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.