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Finding the Third Proportional to 262,832.98 and 411,765.40

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Solution

The third proportional to 262,832.98 and 411,765.40 is: 645,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,832.98 : 411,765.40 = 411,765.40 : x
  2. Step 2: Convert to fraction form
    262,832.98/411,765.40 = 411,765.40/x
  3. Step 3: Cross multiply
    262,832.98x = 411,765.40 × 411,765.40
  4. Step 4: Simplify right side
    262,832.98x = 169,550,743,350.41
  5. Step 5: Solve for x
    x = 169,550,743,350.41/262,832.98
  6. Step 6: Final answer
    x = 645,089.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.