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Finding the Third Proportional to 291,442 and 596,978

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Solution

The third proportional to 291,442 and 596,978 is: 1,222,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,442 : 596,978 = 596,978 : x
  2. Step 2: Convert to fraction form
    291,442/596,978 = 596,978/x
  3. Step 3: Cross multiply
    291,442x = 596,978 × 596,978
  4. Step 4: Simplify right side
    291,442x = 356,382,732,484
  5. Step 5: Solve for x
    x = 356,382,732,484/291,442
  6. Step 6: Final answer
    x = 1,222,825.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.