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Finding the Third Proportional to 291,092 and 462,880

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Solution

The third proportional to 291,092 and 462,880 is: 736,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,092 : 462,880 = 462,880 : x
  2. Step 2: Convert to fraction form
    291,092/462,880 = 462,880/x
  3. Step 3: Cross multiply
    291,092x = 462,880 × 462,880
  4. Step 4: Simplify right side
    291,092x = 214,257,894,400
  5. Step 5: Solve for x
    x = 214,257,894,400/291,092
  6. Step 6: Final answer
    x = 736,048.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.