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Finding the Third Proportional to 233,369 and 476,593

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Solution

The third proportional to 233,369 and 476,593 is: 973,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,369 : 476,593 = 476,593 : x
  2. Step 2: Convert to fraction form
    233,369/476,593 = 476,593/x
  3. Step 3: Cross multiply
    233,369x = 476,593 × 476,593
  4. Step 4: Simplify right side
    233,369x = 227,140,887,649
  5. Step 5: Solve for x
    x = 227,140,887,649/233,369
  6. Step 6: Final answer
    x = 973,312.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.