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Finding the Third Proportional to 439,801.50 and 960,576

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Solution

The third proportional to 439,801.50 and 960,576 is: 2,098,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,801.50 : 960,576 = 960,576 : x
  2. Step 2: Convert to fraction form
    439,801.50/960,576 = 960,576/x
  3. Step 3: Cross multiply
    439,801.50x = 960,576 × 960,576
  4. Step 4: Simplify right side
    439,801.50x = 922,706,251,776
  5. Step 5: Solve for x
    x = 922,706,251,776/439,801.50
  6. Step 6: Final answer
    x = 2,098,006.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.