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Finding the Third Proportional to 579.19 and 895.97

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Solution

The third proportional to 579.19 and 895.97 is: 1,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.19 : 895.97 = 895.97 : x
  2. Step 2: Convert to fraction form
    579.19/895.97 = 895.97/x
  3. Step 3: Cross multiply
    579.19x = 895.97 × 895.97
  4. Step 4: Simplify right side
    579.19x = 802,760.00
  5. Step 5: Solve for x
    x = 802,760.00/579.19
  6. Step 6: Final answer
    x = 1,386.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.