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Finding the Third Proportional to 233,378.72 and 475,318.13

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Solution

The third proportional to 233,378.72 and 475,318.13 is: 968,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,378.72 : 475,318.13 = 475,318.13 : x
  2. Step 2: Convert to fraction form
    233,378.72/475,318.13 = 475,318.13/x
  3. Step 3: Cross multiply
    233,378.72x = 475,318.13 × 475,318.13
  4. Step 4: Simplify right side
    233,378.72x = 225,927,319,953.52
  5. Step 5: Solve for x
    x = 225,927,319,953.52/233,378.72
  6. Step 6: Final answer
    x = 968,071.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.