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Finding the Third Proportional to 202,310 and 442,718

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Solution

The third proportional to 202,310 and 442,718 is: 968,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,310 : 442,718 = 442,718 : x
  2. Step 2: Convert to fraction form
    202,310/442,718 = 442,718/x
  3. Step 3: Cross multiply
    202,310x = 442,718 × 442,718
  4. Step 4: Simplify right side
    202,310x = 195,999,227,524
  5. Step 5: Solve for x
    x = 195,999,227,524/202,310
  6. Step 6: Final answer
    x = 968,806.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.