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Finding the Third Proportional to 449,557.88 and 963,239.25

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Solution

The third proportional to 449,557.88 and 963,239.25 is: 2,063,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,557.88 : 963,239.25 = 963,239.25 : x
  2. Step 2: Convert to fraction form
    449,557.88/963,239.25 = 963,239.25/x
  3. Step 3: Cross multiply
    449,557.88x = 963,239.25 × 963,239.25
  4. Step 4: Simplify right side
    449,557.88x = 927,829,852,740.56
  5. Step 5: Solve for x
    x = 927,829,852,740.56/449,557.88
  6. Step 6: Final answer
    x = 2,063,871.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.