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Finding the Third Proportional to 233,648 and 490,624

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Solution

The third proportional to 233,648 and 490,624 is: 1,030,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,648 : 490,624 = 490,624 : x
  2. Step 2: Convert to fraction form
    233,648/490,624 = 490,624/x
  3. Step 3: Cross multiply
    233,648x = 490,624 × 490,624
  4. Step 4: Simplify right side
    233,648x = 240,711,909,376
  5. Step 5: Solve for x
    x = 240,711,909,376/233,648
  6. Step 6: Final answer
    x = 1,030,233.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.