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Finding the Third Proportional to 239,365 and 354,424

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Solution

The third proportional to 239,365 and 354,424 is: 524,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,365 : 354,424 = 354,424 : x
  2. Step 2: Convert to fraction form
    239,365/354,424 = 354,424/x
  3. Step 3: Cross multiply
    239,365x = 354,424 × 354,424
  4. Step 4: Simplify right side
    239,365x = 125,616,371,776
  5. Step 5: Solve for x
    x = 125,616,371,776/239,365
  6. Step 6: Final answer
    x = 524,790.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.