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Finding the Third Proportional to 219,757.50 and 473,643

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Solution

The third proportional to 219,757.50 and 473,643 is: 1,020,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,757.50 : 473,643 = 473,643 : x
  2. Step 2: Convert to fraction form
    219,757.50/473,643 = 473,643/x
  3. Step 3: Cross multiply
    219,757.50x = 473,643 × 473,643
  4. Step 4: Simplify right side
    219,757.50x = 224,337,691,449
  5. Step 5: Solve for x
    x = 224,337,691,449/219,757.50
  6. Step 6: Final answer
    x = 1,020,842.03

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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.