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Finding the Third Proportional to 362,080 and 548,952

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Solution

The third proportional to 362,080 and 548,952 is: 832,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,080 : 548,952 = 548,952 : x
  2. Step 2: Convert to fraction form
    362,080/548,952 = 548,952/x
  3. Step 3: Cross multiply
    362,080x = 548,952 × 548,952
  4. Step 4: Simplify right side
    362,080x = 301,348,298,304
  5. Step 5: Solve for x
    x = 301,348,298,304/362,080
  6. Step 6: Final answer
    x = 832,269.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.