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Finding the Third Proportional to 607.13 and 931.69

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Solution

The third proportional to 607.13 and 931.69 is: 1,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.13 : 931.69 = 931.69 : x
  2. Step 2: Convert to fraction form
    607.13/931.69 = 931.69/x
  3. Step 3: Cross multiply
    607.13x = 931.69 × 931.69
  4. Step 4: Simplify right side
    607.13x = 868,041.60
  5. Step 5: Solve for x
    x = 868,041.60/607.13
  6. Step 6: Final answer
    x = 1,429.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.