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Finding the Third Proportional to 239,844 and 370,582

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Solution

The third proportional to 239,844 and 370,582 is: 572,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,844 : 370,582 = 370,582 : x
  2. Step 2: Convert to fraction form
    239,844/370,582 = 370,582/x
  3. Step 3: Cross multiply
    239,844x = 370,582 × 370,582
  4. Step 4: Simplify right side
    239,844x = 137,331,018,724
  5. Step 5: Solve for x
    x = 137,331,018,724/239,844
  6. Step 6: Final answer
    x = 572,584.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.