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Finding the Third Proportional to 895.50 and 1,424.25

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Solution

The third proportional to 895.50 and 1,424.25 is: 2,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.50 : 1,424.25 = 1,424.25 : x
  2. Step 2: Convert to fraction form
    895.50/1,424.25 = 1,424.25/x
  3. Step 3: Cross multiply
    895.50x = 1,424.25 × 1,424.25
  4. Step 4: Simplify right side
    895.50x = 2,028,488.06
  5. Step 5: Solve for x
    x = 2,028,488.06/895.50
  6. Step 6: Final answer
    x = 2,265.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.