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Finding the Third Proportional to 523,624 and 806,030

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Solution

The third proportional to 523,624 and 806,030 is: 1,240,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,624 : 806,030 = 806,030 : x
  2. Step 2: Convert to fraction form
    523,624/806,030 = 806,030/x
  3. Step 3: Cross multiply
    523,624x = 806,030 × 806,030
  4. Step 4: Simplify right side
    523,624x = 649,684,360,900
  5. Step 5: Solve for x
    x = 649,684,360,900/523,624
  6. Step 6: Final answer
    x = 1,240,745.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.