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Finding the Third Proportional to 706.50 and 895.13

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Solution

The third proportional to 706.50 and 895.13 is: 1,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 895.13 = 895.13 : x
  2. Step 2: Convert to fraction form
    706.50/895.13 = 895.13/x
  3. Step 3: Cross multiply
    706.50x = 895.13 × 895.13
  4. Step 4: Simplify right side
    706.50x = 801,248.77
  5. Step 5: Solve for x
    x = 801,248.77/706.50
  6. Step 6: Final answer
    x = 1,134.11

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.