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Finding the Third Proportional to 233,334 and 498,652

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Solution

The third proportional to 233,334 and 498,652 is: 1,065,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,334 : 498,652 = 498,652 : x
  2. Step 2: Convert to fraction form
    233,334/498,652 = 498,652/x
  3. Step 3: Cross multiply
    233,334x = 498,652 × 498,652
  4. Step 4: Simplify right side
    233,334x = 248,653,817,104
  5. Step 5: Solve for x
    x = 248,653,817,104/233,334
  6. Step 6: Final answer
    x = 1,065,656.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.