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Finding the Third Proportional to 233,358 and 482,268

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Solution

The third proportional to 233,358 and 482,268 is: 996,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,358 : 482,268 = 482,268 : x
  2. Step 2: Convert to fraction form
    233,358/482,268 = 482,268/x
  3. Step 3: Cross multiply
    233,358x = 482,268 × 482,268
  4. Step 4: Simplify right side
    233,358x = 232,582,423,824
  5. Step 5: Solve for x
    x = 232,582,423,824/233,358
  6. Step 6: Final answer
    x = 996,676.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.