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Finding the Third Proportional to 122,964 and 270,624

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Solution

The third proportional to 122,964 and 270,624 is: 595,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,964 : 270,624 = 270,624 : x
  2. Step 2: Convert to fraction form
    122,964/270,624 = 270,624/x
  3. Step 3: Cross multiply
    122,964x = 270,624 × 270,624
  4. Step 4: Simplify right side
    122,964x = 73,237,349,376
  5. Step 5: Solve for x
    x = 73,237,349,376/122,964
  6. Step 6: Final answer
    x = 595,599.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.