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Finding the Third Proportional to 250,350 and 540,978

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Solution

The third proportional to 250,350 and 540,978 is: 1,168,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,350 : 540,978 = 540,978 : x
  2. Step 2: Convert to fraction form
    250,350/540,978 = 540,978/x
  3. Step 3: Cross multiply
    250,350x = 540,978 × 540,978
  4. Step 4: Simplify right side
    250,350x = 292,657,196,484
  5. Step 5: Solve for x
    x = 292,657,196,484/250,350
  6. Step 6: Final answer
    x = 1,168,992.20

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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.