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Finding the Third Proportional to 233,139 and 508,422

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Solution

The third proportional to 233,139 and 508,422 is: 1,108,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,139 : 508,422 = 508,422 : x
  2. Step 2: Convert to fraction form
    233,139/508,422 = 508,422/x
  3. Step 3: Cross multiply
    233,139x = 508,422 × 508,422
  4. Step 4: Simplify right side
    233,139x = 258,492,930,084
  5. Step 5: Solve for x
    x = 258,492,930,084/233,139
  6. Step 6: Final answer
    x = 1,108,750.27

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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.