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Finding the Third Proportional to 233,382 and 475,332

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Solution

The third proportional to 233,382 and 475,332 is: 968,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,382 : 475,332 = 475,332 : x
  2. Step 2: Convert to fraction form
    233,382/475,332 = 475,332/x
  3. Step 3: Cross multiply
    233,382x = 475,332 × 475,332
  4. Step 4: Simplify right side
    233,382x = 225,940,510,224
  5. Step 5: Solve for x
    x = 225,940,510,224/233,382
  6. Step 6: Final answer
    x = 968,114.55

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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.