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Finding the Third Proportional to 367,368 and 567,438

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Solution

The third proportional to 367,368 and 567,438 is: 876,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,368 : 567,438 = 567,438 : x
  2. Step 2: Convert to fraction form
    367,368/567,438 = 567,438/x
  3. Step 3: Cross multiply
    367,368x = 567,438 × 567,438
  4. Step 4: Simplify right side
    367,368x = 321,985,883,844
  5. Step 5: Solve for x
    x = 321,985,883,844/367,368
  6. Step 6: Final answer
    x = 876,466.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.