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Finding the Third Proportional to 582.47 and 1,204.31

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Solution

The third proportional to 582.47 and 1,204.31 is: 2,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.47 : 1,204.31 = 1,204.31 : x
  2. Step 2: Convert to fraction form
    582.47/1,204.31 = 1,204.31/x
  3. Step 3: Cross multiply
    582.47x = 1,204.31 × 1,204.31
  4. Step 4: Simplify right side
    582.47x = 1,450,368.60
  5. Step 5: Solve for x
    x = 1,450,368.60/582.47
  6. Step 6: Final answer
    x = 2,490.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.