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Finding the Third Proportional to 291,218.63 and 596,544.75

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Solution

The third proportional to 291,218.63 and 596,544.75 is: 1,221,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218.63 : 596,544.75 = 596,544.75 : x
  2. Step 2: Convert to fraction form
    291,218.63/596,544.75 = 596,544.75/x
  3. Step 3: Cross multiply
    291,218.63x = 596,544.75 × 596,544.75
  4. Step 4: Simplify right side
    291,218.63x = 355,865,638,752.56
  5. Step 5: Solve for x
    x = 355,865,638,752.56/291,218.63
  6. Step 6: Final answer
    x = 1,221,987.91

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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.