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Finding the Third Proportional to 239,670 and 522,239.63

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Solution

The third proportional to 239,670 and 522,239.63 is: 1,137,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,670 : 522,239.63 = 522,239.63 : x
  2. Step 2: Convert to fraction form
    239,670/522,239.63 = 522,239.63/x
  3. Step 3: Cross multiply
    239,670x = 522,239.63 × 522,239.63
  4. Step 4: Simplify right side
    239,670x = 272,734,225,920.14
  5. Step 5: Solve for x
    x = 272,734,225,920.14/239,670
  6. Step 6: Final answer
    x = 1,137,957.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.