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Finding the Third Proportional to 274,492 and 583,978

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Solution

The third proportional to 274,492 and 583,978 is: 1,242,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,492 : 583,978 = 583,978 : x
  2. Step 2: Convert to fraction form
    274,492/583,978 = 583,978/x
  3. Step 3: Cross multiply
    274,492x = 583,978 × 583,978
  4. Step 4: Simplify right side
    274,492x = 341,030,304,484
  5. Step 5: Solve for x
    x = 341,030,304,484/274,492
  6. Step 6: Final answer
    x = 1,242,405.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.