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Finding the Third Proportional to 283,726.50 and 421,569.75

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Solution

The third proportional to 283,726.50 and 421,569.75 is: 626,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,726.50 : 421,569.75 = 421,569.75 : x
  2. Step 2: Convert to fraction form
    283,726.50/421,569.75 = 421,569.75/x
  3. Step 3: Cross multiply
    283,726.50x = 421,569.75 × 421,569.75
  4. Step 4: Simplify right side
    283,726.50x = 177,721,054,115.06
  5. Step 5: Solve for x
    x = 177,721,054,115.06/283,726.50
  6. Step 6: Final answer
    x = 626,381.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.