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Finding the Third Proportional to 554,231 and 811,602

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Solution

The third proportional to 554,231 and 811,602 is: 1,188,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,231 : 811,602 = 811,602 : x
  2. Step 2: Convert to fraction form
    554,231/811,602 = 811,602/x
  3. Step 3: Cross multiply
    554,231x = 811,602 × 811,602
  4. Step 4: Simplify right side
    554,231x = 658,697,806,404
  5. Step 5: Solve for x
    x = 658,697,806,404/554,231
  6. Step 6: Final answer
    x = 1,188,489.65

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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.