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Finding the Third Proportional to 646.31 and 1,029.38

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Solution

The third proportional to 646.31 and 1,029.38 is: 1,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.31 : 1,029.38 = 1,029.38 : x
  2. Step 2: Convert to fraction form
    646.31/1,029.38 = 1,029.38/x
  3. Step 3: Cross multiply
    646.31x = 1,029.38 × 1,029.38
  4. Step 4: Simplify right side
    646.31x = 1,059,612.89
  5. Step 5: Solve for x
    x = 1,059,612.89/646.31
  6. Step 6: Final answer
    x = 1,639.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.