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Finding the Third Proportional to 232,273 and 502,562

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Solution

The third proportional to 232,273 and 502,562 is: 1,087,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,273 : 502,562 = 502,562 : x
  2. Step 2: Convert to fraction form
    232,273/502,562 = 502,562/x
  3. Step 3: Cross multiply
    232,273x = 502,562 × 502,562
  4. Step 4: Simplify right side
    232,273x = 252,568,563,844
  5. Step 5: Solve for x
    x = 252,568,563,844/232,273
  6. Step 6: Final answer
    x = 1,087,378.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.