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Finding the Third Proportional to 234,335 and 485,293

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Solution

The third proportional to 234,335 and 485,293 is: 1,005,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,335 : 485,293 = 485,293 : x
  2. Step 2: Convert to fraction form
    234,335/485,293 = 485,293/x
  3. Step 3: Cross multiply
    234,335x = 485,293 × 485,293
  4. Step 4: Simplify right side
    234,335x = 235,509,295,849
  5. Step 5: Solve for x
    x = 235,509,295,849/234,335
  6. Step 6: Final answer
    x = 1,005,011.18

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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.