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Finding the Third Proportional to 233,816.63 and 362,764.13

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Solution

The third proportional to 233,816.63 and 362,764.13 is: 562,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,816.63 : 362,764.13 = 362,764.13 : x
  2. Step 2: Convert to fraction form
    233,816.63/362,764.13 = 362,764.13/x
  3. Step 3: Cross multiply
    233,816.63x = 362,764.13 × 362,764.13
  4. Step 4: Simplify right side
    233,816.63x = 131,597,810,387.02
  5. Step 5: Solve for x
    x = 131,597,810,387.02/233,816.63
  6. Step 6: Final answer
    x = 562,824.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.