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Finding the Third Proportional to 233,703 and 508,351.50

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Solution

The third proportional to 233,703 and 508,351.50 is: 1,105,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,703 : 508,351.50 = 508,351.50 : x
  2. Step 2: Convert to fraction form
    233,703/508,351.50 = 508,351.50/x
  3. Step 3: Cross multiply
    233,703x = 508,351.50 × 508,351.50
  4. Step 4: Simplify right side
    233,703x = 258,421,247,552.25
  5. Step 5: Solve for x
    x = 258,421,247,552.25/233,703
  6. Step 6: Final answer
    x = 1,105,767.78

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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.