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Finding the Third Proportional to 588,320 and 1,269,952

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Solution

The third proportional to 588,320 and 1,269,952 is: 2,741,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,320 : 1,269,952 = 1,269,952 : x
  2. Step 2: Convert to fraction form
    588,320/1,269,952 = 1,269,952/x
  3. Step 3: Cross multiply
    588,320x = 1,269,952 × 1,269,952
  4. Step 4: Simplify right side
    588,320x = 1,612,778,082,304
  5. Step 5: Solve for x
    x = 1,612,778,082,304/588,320
  6. Step 6: Final answer
    x = 2,741,327.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.