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Finding the Third Proportional to 215,262.50 and 473,299

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Solution

The third proportional to 215,262.50 and 473,299 is: 1,040,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,262.50 : 473,299 = 473,299 : x
  2. Step 2: Convert to fraction form
    215,262.50/473,299 = 473,299/x
  3. Step 3: Cross multiply
    215,262.50x = 473,299 × 473,299
  4. Step 4: Simplify right side
    215,262.50x = 224,011,943,401
  5. Step 5: Solve for x
    x = 224,011,943,401/215,262.50
  6. Step 6: Final answer
    x = 1,040,645.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.