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Finding the Third Proportional to 512,125.50 and 803,262

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Solution

The third proportional to 512,125.50 and 803,262 is: 1,259,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,125.50 : 803,262 = 803,262 : x
  2. Step 2: Convert to fraction form
    512,125.50/803,262 = 803,262/x
  3. Step 3: Cross multiply
    512,125.50x = 803,262 × 803,262
  4. Step 4: Simplify right side
    512,125.50x = 645,229,840,644
  5. Step 5: Solve for x
    x = 645,229,840,644/512,125.50
  6. Step 6: Final answer
    x = 1,259,905.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.