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Finding the Third Proportional to 207,456 and 304,584

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Solution

The third proportional to 207,456 and 304,584 is: 447,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,456 : 304,584 = 304,584 : x
  2. Step 2: Convert to fraction form
    207,456/304,584 = 304,584/x
  3. Step 3: Cross multiply
    207,456x = 304,584 × 304,584
  4. Step 4: Simplify right side
    207,456x = 92,771,413,056
  5. Step 5: Solve for x
    x = 92,771,413,056/207,456
  6. Step 6: Final answer
    x = 447,185.97

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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.