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Finding the Third Proportional to 233,896 and 499,784

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Solution

The third proportional to 233,896 and 499,784 is: 1,067,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,896 : 499,784 = 499,784 : x
  2. Step 2: Convert to fraction form
    233,896/499,784 = 499,784/x
  3. Step 3: Cross multiply
    233,896x = 499,784 × 499,784
  4. Step 4: Simplify right side
    233,896x = 249,784,046,656
  5. Step 5: Solve for x
    x = 249,784,046,656/233,896
  6. Step 6: Final answer
    x = 1,067,927.83

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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.