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Finding the Third Proportional to 288,356 and 632,846

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Solution

The third proportional to 288,356 and 632,846 is: 1,388,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,356 : 632,846 = 632,846 : x
  2. Step 2: Convert to fraction form
    288,356/632,846 = 632,846/x
  3. Step 3: Cross multiply
    288,356x = 632,846 × 632,846
  4. Step 4: Simplify right side
    288,356x = 400,494,059,716
  5. Step 5: Solve for x
    x = 400,494,059,716/288,356
  6. Step 6: Final answer
    x = 1,388,887.55

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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.