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Finding the Third Proportional to 366,012 and 584,415

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Solution

The third proportional to 366,012 and 584,415 is: 933,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,012 : 584,415 = 584,415 : x
  2. Step 2: Convert to fraction form
    366,012/584,415 = 584,415/x
  3. Step 3: Cross multiply
    366,012x = 584,415 × 584,415
  4. Step 4: Simplify right side
    366,012x = 341,540,892,225
  5. Step 5: Solve for x
    x = 341,540,892,225/366,012
  6. Step 6: Final answer
    x = 933,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.