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Finding the Third Proportional to 543,972 and 816,432

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Solution

The third proportional to 543,972 and 816,432 is: 1,225,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,972 : 816,432 = 816,432 : x
  2. Step 2: Convert to fraction form
    543,972/816,432 = 816,432/x
  3. Step 3: Cross multiply
    543,972x = 816,432 × 816,432
  4. Step 4: Simplify right side
    543,972x = 666,561,210,624
  5. Step 5: Solve for x
    x = 666,561,210,624/543,972
  6. Step 6: Final answer
    x = 1,225,359.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.