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Finding the Third Proportional to 292,960 and 445,056

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Solution

The third proportional to 292,960 and 445,056 is: 676,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,960 : 445,056 = 445,056 : x
  2. Step 2: Convert to fraction form
    292,960/445,056 = 445,056/x
  3. Step 3: Cross multiply
    292,960x = 445,056 × 445,056
  4. Step 4: Simplify right side
    292,960x = 198,074,843,136
  5. Step 5: Solve for x
    x = 198,074,843,136/292,960
  6. Step 6: Final answer
    x = 676,115.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.