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Finding the Third Proportional to 895.50 and 1,257

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Solution

The third proportional to 895.50 and 1,257 is: 1,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.50 : 1,257 = 1,257 : x
  2. Step 2: Convert to fraction form
    895.50/1,257 = 1,257/x
  3. Step 3: Cross multiply
    895.50x = 1,257 × 1,257
  4. Step 4: Simplify right side
    895.50x = 1,580,049
  5. Step 5: Solve for x
    x = 1,580,049/895.50
  6. Step 6: Final answer
    x = 1,764.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.