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Finding the Third Proportional to 440,179.50 and 964,491

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Solution

The third proportional to 440,179.50 and 964,491 is: 2,113,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,179.50 : 964,491 = 964,491 : x
  2. Step 2: Convert to fraction form
    440,179.50/964,491 = 964,491/x
  3. Step 3: Cross multiply
    440,179.50x = 964,491 × 964,491
  4. Step 4: Simplify right side
    440,179.50x = 930,242,889,081
  5. Step 5: Solve for x
    x = 930,242,889,081/440,179.50
  6. Step 6: Final answer
    x = 2,113,326.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.