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Finding the Third Proportional to 233,139 and 508,434

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Solution

The third proportional to 233,139 and 508,434 is: 1,108,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,139 : 508,434 = 508,434 : x
  2. Step 2: Convert to fraction form
    233,139/508,434 = 508,434/x
  3. Step 3: Cross multiply
    233,139x = 508,434 × 508,434
  4. Step 4: Simplify right side
    233,139x = 258,505,132,356
  5. Step 5: Solve for x
    x = 258,505,132,356/233,139
  6. Step 6: Final answer
    x = 1,108,802.61

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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.