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Finding the Third Proportional to 535,098 and 784,908

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Solution

The third proportional to 535,098 and 784,908 is: 1,151,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,098 : 784,908 = 784,908 : x
  2. Step 2: Convert to fraction form
    535,098/784,908 = 784,908/x
  3. Step 3: Cross multiply
    535,098x = 784,908 × 784,908
  4. Step 4: Simplify right side
    535,098x = 616,080,568,464
  5. Step 5: Solve for x
    x = 616,080,568,464/535,098
  6. Step 6: Final answer
    x = 1,151,341.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.