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Finding the Third Proportional to 202,699 and 469,260

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Solution

The third proportional to 202,699 and 469,260 is: 1,086,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,699 : 469,260 = 469,260 : x
  2. Step 2: Convert to fraction form
    202,699/469,260 = 469,260/x
  3. Step 3: Cross multiply
    202,699x = 469,260 × 469,260
  4. Step 4: Simplify right side
    202,699x = 220,204,947,600
  5. Step 5: Solve for x
    x = 220,204,947,600/202,699
  6. Step 6: Final answer
    x = 1,086,364.25

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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.