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Finding the Third Proportional to 676,894 and 898,515

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Solution

The third proportional to 676,894 and 898,515 is: 1,192,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,894 : 898,515 = 898,515 : x
  2. Step 2: Convert to fraction form
    676,894/898,515 = 898,515/x
  3. Step 3: Cross multiply
    676,894x = 898,515 × 898,515
  4. Step 4: Simplify right side
    676,894x = 807,329,205,225
  5. Step 5: Solve for x
    x = 807,329,205,225/676,894
  6. Step 6: Final answer
    x = 1,192,696.65

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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.