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Finding the Third Proportional to 232,508 and 510,752

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Solution

The third proportional to 232,508 and 510,752 is: 1,121,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,508 : 510,752 = 510,752 : x
  2. Step 2: Convert to fraction form
    232,508/510,752 = 510,752/x
  3. Step 3: Cross multiply
    232,508x = 510,752 × 510,752
  4. Step 4: Simplify right side
    232,508x = 260,867,605,504
  5. Step 5: Solve for x
    x = 260,867,605,504/232,508
  6. Step 6: Final answer
    x = 1,121,972.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.