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Finding the Third Proportional to 291,216 and 596,544

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Solution

The third proportional to 291,216 and 596,544 is: 1,221,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,216 : 596,544 = 596,544 : x
  2. Step 2: Convert to fraction form
    291,216/596,544 = 596,544/x
  3. Step 3: Cross multiply
    291,216x = 596,544 × 596,544
  4. Step 4: Simplify right side
    291,216x = 355,864,743,936
  5. Step 5: Solve for x
    x = 355,864,743,936/291,216
  6. Step 6: Final answer
    x = 1,221,995.85

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Why These Related Problems?

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