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Finding the Third Proportional to 233,298 and 482,148

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Solution

The third proportional to 233,298 and 482,148 is: 996,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298 : 482,148 = 482,148 : x
  2. Step 2: Convert to fraction form
    233,298/482,148 = 482,148/x
  3. Step 3: Cross multiply
    233,298x = 482,148 × 482,148
  4. Step 4: Simplify right side
    233,298x = 232,466,693,904
  5. Step 5: Solve for x
    x = 232,466,693,904/233,298
  6. Step 6: Final answer
    x = 996,436.72

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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.