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Finding the Third Proportional to 449,570.25 and 963,262.13

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Solution

The third proportional to 449,570.25 and 963,262.13 is: 2,063,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,570.25 : 963,262.13 = 963,262.13 : x
  2. Step 2: Convert to fraction form
    449,570.25/963,262.13 = 963,262.13/x
  3. Step 3: Cross multiply
    449,570.25x = 963,262.13 × 963,262.13
  4. Step 4: Simplify right side
    449,570.25x = 927,873,921,459.52
  5. Step 5: Solve for x
    x = 927,873,921,459.52/449,570.25
  6. Step 6: Final answer
    x = 2,063,913.08

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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.