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Finding the Third Proportional to 337,003 and 506,872.50

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Solution

The third proportional to 337,003 and 506,872.50 is: 762,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,003 : 506,872.50 = 506,872.50 : x
  2. Step 2: Convert to fraction form
    337,003/506,872.50 = 506,872.50/x
  3. Step 3: Cross multiply
    337,003x = 506,872.50 × 506,872.50
  4. Step 4: Simplify right side
    337,003x = 256,919,731,256.25
  5. Step 5: Solve for x
    x = 256,919,731,256.25/337,003
  6. Step 6: Final answer
    x = 762,366.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.