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Finding the Third Proportional to 676,883 and 898,501

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Solution

The third proportional to 676,883 and 898,501 is: 1,192,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,883 : 898,501 = 898,501 : x
  2. Step 2: Convert to fraction form
    676,883/898,501 = 898,501/x
  3. Step 3: Cross multiply
    676,883x = 898,501 × 898,501
  4. Step 4: Simplify right side
    676,883x = 807,304,047,001
  5. Step 5: Solve for x
    x = 807,304,047,001/676,883
  6. Step 6: Final answer
    x = 1,192,678.86

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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.