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Finding the Third Proportional to 674,584 and 898,008

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Solution

The third proportional to 674,584 and 898,008 is: 1,195,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,584 : 898,008 = 898,008 : x
  2. Step 2: Convert to fraction form
    674,584/898,008 = 898,008/x
  3. Step 3: Cross multiply
    674,584x = 898,008 × 898,008
  4. Step 4: Simplify right side
    674,584x = 806,418,368,064
  5. Step 5: Solve for x
    x = 806,418,368,064/674,584
  6. Step 6: Final answer
    x = 1,195,430.62

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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.