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Finding the Third Proportional to 291,624 and 606,516

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Solution

The third proportional to 291,624 and 606,516 is: 1,261,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,624 : 606,516 = 606,516 : x
  2. Step 2: Convert to fraction form
    291,624/606,516 = 606,516/x
  3. Step 3: Cross multiply
    291,624x = 606,516 × 606,516
  4. Step 4: Simplify right side
    291,624x = 367,861,658,256
  5. Step 5: Solve for x
    x = 367,861,658,256/291,624
  6. Step 6: Final answer
    x = 1,261,424.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.