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Finding the Third Proportional to 233,402 and 475,362

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Solution

The third proportional to 233,402 and 475,362 is: 968,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,402 : 475,362 = 475,362 : x
  2. Step 2: Convert to fraction form
    233,402/475,362 = 475,362/x
  3. Step 3: Cross multiply
    233,402x = 475,362 × 475,362
  4. Step 4: Simplify right side
    233,402x = 225,969,031,044
  5. Step 5: Solve for x
    x = 225,969,031,044/233,402
  6. Step 6: Final answer
    x = 968,153.79

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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.