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Finding the Third Proportional to 237,988.50 and 500,520

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Solution

The third proportional to 237,988.50 and 500,520 is: 1,052,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,988.50 : 500,520 = 500,520 : x
  2. Step 2: Convert to fraction form
    237,988.50/500,520 = 500,520/x
  3. Step 3: Cross multiply
    237,988.50x = 500,520 × 500,520
  4. Step 4: Simplify right side
    237,988.50x = 250,520,270,400
  5. Step 5: Solve for x
    x = 250,520,270,400/237,988.50
  6. Step 6: Final answer
    x = 1,052,657.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.