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Finding the Third Proportional to 646.42 and 1,028.00

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Solution

The third proportional to 646.42 and 1,028.00 is: 1,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 1,028.00 = 1,028.00 : x
  2. Step 2: Convert to fraction form
    646.42/1,028.00 = 1,028.00/x
  3. Step 3: Cross multiply
    646.42x = 1,028.00 × 1,028.00
  4. Step 4: Simplify right side
    646.42x = 1,056,792.03
  5. Step 5: Solve for x
    x = 1,056,792.03/646.42
  6. Step 6: Final answer
    x = 1,634.84

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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.