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Finding the Third Proportional to 219,337.88 and 473,667.75

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Solution

The third proportional to 219,337.88 and 473,667.75 is: 1,022,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,337.88 : 473,667.75 = 473,667.75 : x
  2. Step 2: Convert to fraction form
    219,337.88/473,667.75 = 473,667.75/x
  3. Step 3: Cross multiply
    219,337.88x = 473,667.75 × 473,667.75
  4. Step 4: Simplify right side
    219,337.88x = 224,361,137,390.06
  5. Step 5: Solve for x
    x = 224,361,137,390.06/219,337.88
  6. Step 6: Final answer
    x = 1,022,901.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.