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Finding the Third Proportional to 233,670 and 496,508

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Solution

The third proportional to 233,670 and 496,508 is: 1,054,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,670 : 496,508 = 496,508 : x
  2. Step 2: Convert to fraction form
    233,670/496,508 = 496,508/x
  3. Step 3: Cross multiply
    233,670x = 496,508 × 496,508
  4. Step 4: Simplify right side
    233,670x = 246,520,194,064
  5. Step 5: Solve for x
    x = 246,520,194,064/233,670
  6. Step 6: Final answer
    x = 1,054,992.91

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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.