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Finding the Third Proportional to 202,499 and 468,788

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Solution

The third proportional to 202,499 and 468,788 is: 1,085,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,499 : 468,788 = 468,788 : x
  2. Step 2: Convert to fraction form
    202,499/468,788 = 468,788/x
  3. Step 3: Cross multiply
    202,499x = 468,788 × 468,788
  4. Step 4: Simplify right side
    202,499x = 219,762,188,944
  5. Step 5: Solve for x
    x = 219,762,188,944/202,499
  6. Step 6: Final answer
    x = 1,085,250.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.