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Finding the Third Proportional to 367,848.84 and 499,285.27

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Solution

The third proportional to 367,848.84 and 499,285.27 is: 677,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,848.84 : 499,285.27 = 499,285.27 : x
  2. Step 2: Convert to fraction form
    367,848.84/499,285.27 = 499,285.27/x
  3. Step 3: Cross multiply
    367,848.84x = 499,285.27 × 499,285.27
  4. Step 4: Simplify right side
    367,848.84x = 249,285,776,470.23
  5. Step 5: Solve for x
    x = 249,285,776,470.23/367,848.84
  6. Step 6: Final answer
    x = 677,685.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.