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Finding the Third Proportional to 706.13 and 1,031.81

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Solution

The third proportional to 706.13 and 1,031.81 is: 1,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 1,031.81 = 1,031.81 : x
  2. Step 2: Convert to fraction form
    706.13/1,031.81 = 1,031.81/x
  3. Step 3: Cross multiply
    706.13x = 1,031.81 × 1,031.81
  4. Step 4: Simplify right side
    706.13x = 1,064,637.04
  5. Step 5: Solve for x
    x = 1,064,637.04/706.13
  6. Step 6: Final answer
    x = 1,507.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.