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Finding the Third Proportional to 846.19 and 1,207.69

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Solution

The third proportional to 846.19 and 1,207.69 is: 1,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.19 : 1,207.69 = 1,207.69 : x
  2. Step 2: Convert to fraction form
    846.19/1,207.69 = 1,207.69/x
  3. Step 3: Cross multiply
    846.19x = 1,207.69 × 1,207.69
  4. Step 4: Simplify right side
    846.19x = 1,458,509.10
  5. Step 5: Solve for x
    x = 1,458,509.10/846.19
  6. Step 6: Final answer
    x = 1,723.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.