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Finding the Third Proportional to 223,438 and 487,024

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Solution

The third proportional to 223,438 and 487,024 is: 1,061,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,438 : 487,024 = 487,024 : x
  2. Step 2: Convert to fraction form
    223,438/487,024 = 487,024/x
  3. Step 3: Cross multiply
    223,438x = 487,024 × 487,024
  4. Step 4: Simplify right side
    223,438x = 237,192,376,576
  5. Step 5: Solve for x
    x = 237,192,376,576/223,438
  6. Step 6: Final answer
    x = 1,061,557.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.