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Finding the Third Proportional to 239,584 and 375,810

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Solution

The third proportional to 239,584 and 375,810 is: 589,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,584 : 375,810 = 375,810 : x
  2. Step 2: Convert to fraction form
    239,584/375,810 = 375,810/x
  3. Step 3: Cross multiply
    239,584x = 375,810 × 375,810
  4. Step 4: Simplify right side
    239,584x = 141,233,156,100
  5. Step 5: Solve for x
    x = 141,233,156,100/239,584
  6. Step 6: Final answer
    x = 589,493.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.