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Finding the Third Proportional to 895.78 and 1,203.47

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Solution

The third proportional to 895.78 and 1,203.47 is: 1,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.78 : 1,203.47 = 1,203.47 : x
  2. Step 2: Convert to fraction form
    895.78/1,203.47 = 1,203.47/x
  3. Step 3: Cross multiply
    895.78x = 1,203.47 × 1,203.47
  4. Step 4: Simplify right side
    895.78x = 1,448,337.03
  5. Step 5: Solve for x
    x = 1,448,337.03/895.78
  6. Step 6: Final answer
    x = 1,616.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.