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Finding the Third Proportional to 292.95 and 627.46

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Solution

The third proportional to 292.95 and 627.46 is: 1,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.95 : 627.46 = 627.46 : x
  2. Step 2: Convert to fraction form
    292.95/627.46 = 627.46/x
  3. Step 3: Cross multiply
    292.95x = 627.46 × 627.46
  4. Step 4: Simplify right side
    292.95x = 393,710.14
  5. Step 5: Solve for x
    x = 393,710.14/292.95
  6. Step 6: Final answer
    x = 1,343.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.