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Finding the Third Proportional to 207,538 and 304,420

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Solution

The third proportional to 207,538 and 304,420 is: 446,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538 : 304,420 = 304,420 : x
  2. Step 2: Convert to fraction form
    207,538/304,420 = 304,420/x
  3. Step 3: Cross multiply
    207,538x = 304,420 × 304,420
  4. Step 4: Simplify right side
    207,538x = 92,671,536,400
  5. Step 5: Solve for x
    x = 92,671,536,400/207,538
  6. Step 6: Final answer
    x = 446,528.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.