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Finding the Third Proportional to 215,263.50 and 473,301

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Solution

The third proportional to 215,263.50 and 473,301 is: 1,040,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,263.50 : 473,301 = 473,301 : x
  2. Step 2: Convert to fraction form
    215,263.50/473,301 = 473,301/x
  3. Step 3: Cross multiply
    215,263.50x = 473,301 × 473,301
  4. Step 4: Simplify right side
    215,263.50x = 224,013,836,601
  5. Step 5: Solve for x
    x = 224,013,836,601/215,263.50
  6. Step 6: Final answer
    x = 1,040,649.42

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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.