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Finding the Third Proportional to 442,455 and 965,278.50

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Solution

The third proportional to 442,455 and 965,278.50 is: 2,105,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,455 : 965,278.50 = 965,278.50 : x
  2. Step 2: Convert to fraction form
    442,455/965,278.50 = 965,278.50/x
  3. Step 3: Cross multiply
    442,455x = 965,278.50 × 965,278.50
  4. Step 4: Simplify right side
    442,455x = 931,762,582,562.25
  5. Step 5: Solve for x
    x = 931,762,582,562.25/442,455
  6. Step 6: Final answer
    x = 2,105,892.31

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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.