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Finding the Third Proportional to 689.63 and 1,032.19

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Solution

The third proportional to 689.63 and 1,032.19 is: 1,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.63 : 1,032.19 = 1,032.19 : x
  2. Step 2: Convert to fraction form
    689.63/1,032.19 = 1,032.19/x
  3. Step 3: Cross multiply
    689.63x = 1,032.19 × 1,032.19
  4. Step 4: Simplify right side
    689.63x = 1,065,411.04
  5. Step 5: Solve for x
    x = 1,065,411.04/689.63
  6. Step 6: Final answer
    x = 1,544.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.