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Finding the Third Proportional to 233,366 and 508,966

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Solution

The third proportional to 233,366 and 508,966 is: 1,110,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,366 : 508,966 = 508,966 : x
  2. Step 2: Convert to fraction form
    233,366/508,966 = 508,966/x
  3. Step 3: Cross multiply
    233,366x = 508,966 × 508,966
  4. Step 4: Simplify right side
    233,366x = 259,046,389,156
  5. Step 5: Solve for x
    x = 259,046,389,156/233,366
  6. Step 6: Final answer
    x = 1,110,043.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.