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Finding the Third Proportional to 535,099.13 and 784,909.69

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Solution

The third proportional to 535,099.13 and 784,909.69 is: 1,151,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,099.13 : 784,909.69 = 784,909.69 : x
  2. Step 2: Convert to fraction form
    535,099.13/784,909.69 = 784,909.69/x
  3. Step 3: Cross multiply
    535,099.13x = 784,909.69 × 784,909.69
  4. Step 4: Simplify right side
    535,099.13x = 616,083,217,531.35
  5. Step 5: Solve for x
    x = 616,083,217,531.35/535,099.13
  6. Step 6: Final answer
    x = 1,151,344.09

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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.