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Finding the Third Proportional to 368,352 and 582,144

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Solution

The third proportional to 368,352 and 582,144 is: 920,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,352 : 582,144 = 582,144 : x
  2. Step 2: Convert to fraction form
    368,352/582,144 = 582,144/x
  3. Step 3: Cross multiply
    368,352x = 582,144 × 582,144
  4. Step 4: Simplify right side
    368,352x = 338,891,636,736
  5. Step 5: Solve for x
    x = 338,891,636,736/368,352
  6. Step 6: Final answer
    x = 920,021.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.