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Finding the Third Proportional to 233,328.94 and 498,642.75

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Solution

The third proportional to 233,328.94 and 498,642.75 is: 1,065,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,328.94 : 498,642.75 = 498,642.75 : x
  2. Step 2: Convert to fraction form
    233,328.94/498,642.75 = 498,642.75/x
  3. Step 3: Cross multiply
    233,328.94x = 498,642.75 × 498,642.75
  4. Step 4: Simplify right side
    233,328.94x = 248,644,592,127.56
  5. Step 5: Solve for x
    x = 248,644,592,127.56/233,328.94
  6. Step 6: Final answer
    x = 1,065,639.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.