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Finding the Third Proportional to 239,826 and 346,480

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Solution

The third proportional to 239,826 and 346,480 is: 500,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,826 : 346,480 = 346,480 : x
  2. Step 2: Convert to fraction form
    239,826/346,480 = 346,480/x
  3. Step 3: Cross multiply
    239,826x = 346,480 × 346,480
  4. Step 4: Simplify right side
    239,826x = 120,048,390,400
  5. Step 5: Solve for x
    x = 120,048,390,400/239,826
  6. Step 6: Final answer
    x = 500,564.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.