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Finding the Third Proportional to 276,535 and 590,978

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Solution

The third proportional to 276,535 and 590,978 is: 1,262,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,535 : 590,978 = 590,978 : x
  2. Step 2: Convert to fraction form
    276,535/590,978 = 590,978/x
  3. Step 3: Cross multiply
    276,535x = 590,978 × 590,978
  4. Step 4: Simplify right side
    276,535x = 349,254,996,484
  5. Step 5: Solve for x
    x = 349,254,996,484/276,535
  6. Step 6: Final answer
    x = 1,262,968.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.