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Finding the Third Proportional to 233,684 and 496,534

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Solution

The third proportional to 233,684 and 496,534 is: 1,055,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,684 : 496,534 = 496,534 : x
  2. Step 2: Convert to fraction form
    233,684/496,534 = 496,534/x
  3. Step 3: Cross multiply
    233,684x = 496,534 × 496,534
  4. Step 4: Simplify right side
    233,684x = 246,546,013,156
  5. Step 5: Solve for x
    x = 246,546,013,156/233,684
  6. Step 6: Final answer
    x = 1,055,040.20

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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.