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Finding the Third Proportional to 233,796 and 496,752

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Solution

The third proportional to 233,796 and 496,752 is: 1,055,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,796 : 496,752 = 496,752 : x
  2. Step 2: Convert to fraction form
    233,796/496,752 = 496,752/x
  3. Step 3: Cross multiply
    233,796x = 496,752 × 496,752
  4. Step 4: Simplify right side
    233,796x = 246,762,549,504
  5. Step 5: Solve for x
    x = 246,762,549,504/233,796
  6. Step 6: Final answer
    x = 1,055,460.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.