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Finding the Third Proportional to 288,056 and 605,344

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Solution

The third proportional to 288,056 and 605,344 is: 1,272,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,056 : 605,344 = 605,344 : x
  2. Step 2: Convert to fraction form
    288,056/605,344 = 605,344/x
  3. Step 3: Cross multiply
    288,056x = 605,344 × 605,344
  4. Step 4: Simplify right side
    288,056x = 366,441,358,336
  5. Step 5: Solve for x
    x = 366,441,358,336/288,056
  6. Step 6: Final answer
    x = 1,272,118.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.