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Finding the Third Proportional to 554,241 and 811,617

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Solution

The third proportional to 554,241 and 811,617 is: 1,188,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,241 : 811,617 = 811,617 : x
  2. Step 2: Convert to fraction form
    554,241/811,617 = 811,617/x
  3. Step 3: Cross multiply
    554,241x = 811,617 × 811,617
  4. Step 4: Simplify right side
    554,241x = 658,722,154,689
  5. Step 5: Solve for x
    x = 658,722,154,689/554,241
  6. Step 6: Final answer
    x = 1,188,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.