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Finding the Third Proportional to 450,282.38 and 975,287.25

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Solution

The third proportional to 450,282.38 and 975,287.25 is: 2,112,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,282.38 : 975,287.25 = 975,287.25 : x
  2. Step 2: Convert to fraction form
    450,282.38/975,287.25 = 975,287.25/x
  3. Step 3: Cross multiply
    450,282.38x = 975,287.25 × 975,287.25
  4. Step 4: Simplify right side
    450,282.38x = 951,185,220,012.56
  5. Step 5: Solve for x
    x = 951,185,220,012.56/450,282.38
  6. Step 6: Final answer
    x = 2,112,419.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.