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Finding the Third Proportional to 288,959 and 444,784

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Solution

The third proportional to 288,959 and 444,784 is: 684,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,959 : 444,784 = 444,784 : x
  2. Step 2: Convert to fraction form
    288,959/444,784 = 444,784/x
  3. Step 3: Cross multiply
    288,959x = 444,784 × 444,784
  4. Step 4: Simplify right side
    288,959x = 197,832,806,656
  5. Step 5: Solve for x
    x = 197,832,806,656/288,959
  6. Step 6: Final answer
    x = 684,639.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.