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Finding the Third Proportional to 219,554 and 315,507

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Solution

The third proportional to 219,554 and 315,507 is: 453,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,554 : 315,507 = 315,507 : x
  2. Step 2: Convert to fraction form
    219,554/315,507 = 315,507/x
  3. Step 3: Cross multiply
    219,554x = 315,507 × 315,507
  4. Step 4: Simplify right side
    219,554x = 99,544,667,049
  5. Step 5: Solve for x
    x = 99,544,667,049/219,554
  6. Step 6: Final answer
    x = 453,394.91

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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.