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Finding the Third Proportional to 375,769.50 and 662,277

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Solution

The third proportional to 375,769.50 and 662,277 is: 1,167,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,769.50 : 662,277 = 662,277 : x
  2. Step 2: Convert to fraction form
    375,769.50/662,277 = 662,277/x
  3. Step 3: Cross multiply
    375,769.50x = 662,277 × 662,277
  4. Step 4: Simplify right side
    375,769.50x = 438,610,824,729
  5. Step 5: Solve for x
    x = 438,610,824,729/375,769.50
  6. Step 6: Final answer
    x = 1,167,233.70

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.