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Finding the Third Proportional to 262,631 and 382,461

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Solution

The third proportional to 262,631 and 382,461 is: 556,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,631 : 382,461 = 382,461 : x
  2. Step 2: Convert to fraction form
    262,631/382,461 = 382,461/x
  3. Step 3: Cross multiply
    262,631x = 382,461 × 382,461
  4. Step 4: Simplify right side
    262,631x = 146,276,416,521
  5. Step 5: Solve for x
    x = 146,276,416,521/262,631
  6. Step 6: Final answer
    x = 556,965.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.