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Finding the Third Proportional to 202,307 and 442,712

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Solution

The third proportional to 202,307 and 442,712 is: 968,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,307 : 442,712 = 442,712 : x
  2. Step 2: Convert to fraction form
    202,307/442,712 = 442,712/x
  3. Step 3: Cross multiply
    202,307x = 442,712 × 442,712
  4. Step 4: Simplify right side
    202,307x = 195,993,914,944
  5. Step 5: Solve for x
    x = 195,993,914,944/202,307
  6. Step 6: Final answer
    x = 968,794.53

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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.