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Finding the Third Proportional to 233,352 and 482,256

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Solution

The third proportional to 233,352 and 482,256 is: 996,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 482,256 = 482,256 : x
  2. Step 2: Convert to fraction form
    233,352/482,256 = 482,256/x
  3. Step 3: Cross multiply
    233,352x = 482,256 × 482,256
  4. Step 4: Simplify right side
    233,352x = 232,570,849,536
  5. Step 5: Solve for x
    x = 232,570,849,536/233,352
  6. Step 6: Final answer
    x = 996,652.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.