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Finding the Third Proportional to 233,861 and 376,633

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Solution

The third proportional to 233,861 and 376,633 is: 606,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,861 : 376,633 = 376,633 : x
  2. Step 2: Convert to fraction form
    233,861/376,633 = 376,633/x
  3. Step 3: Cross multiply
    233,861x = 376,633 × 376,633
  4. Step 4: Simplify right side
    233,861x = 141,852,416,689
  5. Step 5: Solve for x
    x = 141,852,416,689/233,861
  6. Step 6: Final answer
    x = 606,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.