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Finding the Third Proportional to 283,005 and 420,660

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Solution

The third proportional to 283,005 and 420,660 is: 625,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,005 : 420,660 = 420,660 : x
  2. Step 2: Convert to fraction form
    283,005/420,660 = 420,660/x
  3. Step 3: Cross multiply
    283,005x = 420,660 × 420,660
  4. Step 4: Simplify right side
    283,005x = 176,954,835,600
  5. Step 5: Solve for x
    x = 176,954,835,600/283,005
  6. Step 6: Final answer
    x = 625,271.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.