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Finding the Third Proportional to 372,912 and 559,368

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Solution

The third proportional to 372,912 and 559,368 is: 839,052

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,912 : 559,368 = 559,368 : x
  2. Step 2: Convert to fraction form
    372,912/559,368 = 559,368/x
  3. Step 3: Cross multiply
    372,912x = 559,368 × 559,368
  4. Step 4: Simplify right side
    372,912x = 312,892,559,424
  5. Step 5: Solve for x
    x = 312,892,559,424/372,912
  6. Step 6: Final answer
    x = 839,052

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.