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Finding the Third Proportional to 503,434.63 and 762,463.88

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Solution

The third proportional to 503,434.63 and 762,463.88 is: 1,154,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,434.63 : 762,463.88 = 762,463.88 : x
  2. Step 2: Convert to fraction form
    503,434.63/762,463.88 = 762,463.88/x
  3. Step 3: Cross multiply
    503,434.63x = 762,463.88 × 762,463.88
  4. Step 4: Simplify right side
    503,434.63x = 581,351,160,680.02
  5. Step 5: Solve for x
    x = 581,351,160,680.02/503,434.63
  6. Step 6: Final answer
    x = 1,154,769.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.