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Finding the Third Proportional to 288,585.28 and 632,579.63

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Solution

The third proportional to 288,585.28 and 632,579.63 is: 1,386,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,585.28 : 632,579.63 = 632,579.63 : x
  2. Step 2: Convert to fraction form
    288,585.28/632,579.63 = 632,579.63/x
  3. Step 3: Cross multiply
    288,585.28x = 632,579.63 × 632,579.63
  4. Step 4: Simplify right side
    288,585.28x = 400,156,981,965.14
  5. Step 5: Solve for x
    x = 400,156,981,965.14/288,585.28
  6. Step 6: Final answer
    x = 1,386,616.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.