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Finding the Third Proportional to 295,385.25 and 632,802

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Solution

The third proportional to 295,385.25 and 632,802 is: 1,355,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,385.25 : 632,802 = 632,802 : x
  2. Step 2: Convert to fraction form
    295,385.25/632,802 = 632,802/x
  3. Step 3: Cross multiply
    295,385.25x = 632,802 × 632,802
  4. Step 4: Simplify right side
    295,385.25x = 400,438,371,204
  5. Step 5: Solve for x
    x = 400,438,371,204/295,385.25
  6. Step 6: Final answer
    x = 1,355,647.82

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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.