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Finding the Third Proportional to 233,932.50 and 492,310.13

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Solution

The third proportional to 233,932.50 and 492,310.13 is: 1,036,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,932.50 : 492,310.13 = 492,310.13 : x
  2. Step 2: Convert to fraction form
    233,932.50/492,310.13 = 492,310.13/x
  3. Step 3: Cross multiply
    233,932.50x = 492,310.13 × 492,310.13
  4. Step 4: Simplify right side
    233,932.50x = 242,369,259,177.52
  5. Step 5: Solve for x
    x = 242,369,259,177.52/233,932.50
  6. Step 6: Final answer
    x = 1,036,064.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.