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Finding the Third Proportional to 232,420 and 490,952

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Solution

The third proportional to 232,420 and 490,952 is: 1,037,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,420 : 490,952 = 490,952 : x
  2. Step 2: Convert to fraction form
    232,420/490,952 = 490,952/x
  3. Step 3: Cross multiply
    232,420x = 490,952 × 490,952
  4. Step 4: Simplify right side
    232,420x = 241,033,866,304
  5. Step 5: Solve for x
    x = 241,033,866,304/232,420
  6. Step 6: Final answer
    x = 1,037,061.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.