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Finding the Third Proportional to 367,476.75 and 864,607.50

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Solution

The third proportional to 367,476.75 and 864,607.50 is: 2,034,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,476.75 : 864,607.50 = 864,607.50 : x
  2. Step 2: Convert to fraction form
    367,476.75/864,607.50 = 864,607.50/x
  3. Step 3: Cross multiply
    367,476.75x = 864,607.50 × 864,607.50
  4. Step 4: Simplify right side
    367,476.75x = 747,546,129,056.25
  5. Step 5: Solve for x
    x = 747,546,129,056.25/367,476.75
  6. Step 6: Final answer
    x = 2,034,267.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.