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Finding the Third Proportional to 543,624 and 783,036

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Solution

The third proportional to 543,624 and 783,036 is: 1,127,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,624 : 783,036 = 783,036 : x
  2. Step 2: Convert to fraction form
    543,624/783,036 = 783,036/x
  3. Step 3: Cross multiply
    543,624x = 783,036 × 783,036
  4. Step 4: Simplify right side
    543,624x = 613,145,377,296
  5. Step 5: Solve for x
    x = 613,145,377,296/543,624
  6. Step 6: Final answer
    x = 1,127,885.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.