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Finding the Third Proportional to 538,303.50 and 784,107

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Solution

The third proportional to 538,303.50 and 784,107 is: 1,142,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,303.50 : 784,107 = 784,107 : x
  2. Step 2: Convert to fraction form
    538,303.50/784,107 = 784,107/x
  3. Step 3: Cross multiply
    538,303.50x = 784,107 × 784,107
  4. Step 4: Simplify right side
    538,303.50x = 614,823,787,449
  5. Step 5: Solve for x
    x = 614,823,787,449/538,303.50
  6. Step 6: Final answer
    x = 1,142,150.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.