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Finding the Third Proportional to 235,655 and 498,606

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Solution

The third proportional to 235,655 and 498,606 is: 1,054,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,655 : 498,606 = 498,606 : x
  2. Step 2: Convert to fraction form
    235,655/498,606 = 498,606/x
  3. Step 3: Cross multiply
    235,655x = 498,606 × 498,606
  4. Step 4: Simplify right side
    235,655x = 248,607,943,236
  5. Step 5: Solve for x
    x = 248,607,943,236/235,655
  6. Step 6: Final answer
    x = 1,054,965.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.