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Finding the Third Proportional to 369,162 and 578,350

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Solution

The third proportional to 369,162 and 578,350 is: 906,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,162 : 578,350 = 578,350 : x
  2. Step 2: Convert to fraction form
    369,162/578,350 = 578,350/x
  3. Step 3: Cross multiply
    369,162x = 578,350 × 578,350
  4. Step 4: Simplify right side
    369,162x = 334,488,722,500
  5. Step 5: Solve for x
    x = 334,488,722,500/369,162
  6. Step 6: Final answer
    x = 906,075.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.