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Finding the Third Proportional to 366,829.50 and 864,562.50

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Solution

The third proportional to 366,829.50 and 864,562.50 is: 2,037,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,829.50 : 864,562.50 = 864,562.50 : x
  2. Step 2: Convert to fraction form
    366,829.50/864,562.50 = 864,562.50/x
  3. Step 3: Cross multiply
    366,829.50x = 864,562.50 × 864,562.50
  4. Step 4: Simplify right side
    366,829.50x = 747,468,316,406.25
  5. Step 5: Solve for x
    x = 747,468,316,406.25/366,829.50
  6. Step 6: Final answer
    x = 2,037,645.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.