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Finding the Third Proportional to 233,333 and 498,651

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Solution

The third proportional to 233,333 and 498,651 is: 1,065,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,333 : 498,651 = 498,651 : x
  2. Step 2: Convert to fraction form
    233,333/498,651 = 498,651/x
  3. Step 3: Cross multiply
    233,333x = 498,651 × 498,651
  4. Step 4: Simplify right side
    233,333x = 248,652,819,801
  5. Step 5: Solve for x
    x = 248,652,819,801/233,333
  6. Step 6: Final answer
    x = 1,065,656.46

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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.