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Finding the Third Proportional to 433,560 and 927,216

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Solution

The third proportional to 433,560 and 927,216 is: 1,982,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,560 : 927,216 = 927,216 : x
  2. Step 2: Convert to fraction form
    433,560/927,216 = 927,216/x
  3. Step 3: Cross multiply
    433,560x = 927,216 × 927,216
  4. Step 4: Simplify right side
    433,560x = 859,729,510,656
  5. Step 5: Solve for x
    x = 859,729,510,656/433,560
  6. Step 6: Final answer
    x = 1,982,953.94

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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.