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Finding the Third Proportional to 296,250.75 and 637,458.75

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Solution

The third proportional to 296,250.75 and 637,458.75 is: 1,371,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,250.75 : 637,458.75 = 637,458.75 : x
  2. Step 2: Convert to fraction form
    296,250.75/637,458.75 = 637,458.75/x
  3. Step 3: Cross multiply
    296,250.75x = 637,458.75 × 637,458.75
  4. Step 4: Simplify right side
    296,250.75x = 406,353,657,951.56
  5. Step 5: Solve for x
    x = 406,353,657,951.56/296,250.75
  6. Step 6: Final answer
    x = 1,371,654.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.