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Finding the Third Proportional to 336,360 and 519,412

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Solution

The third proportional to 336,360 and 519,412 is: 802,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,360 : 519,412 = 519,412 : x
  2. Step 2: Convert to fraction form
    336,360/519,412 = 519,412/x
  3. Step 3: Cross multiply
    336,360x = 519,412 × 519,412
  4. Step 4: Simplify right side
    336,360x = 269,788,825,744
  5. Step 5: Solve for x
    x = 269,788,825,744/336,360
  6. Step 6: Final answer
    x = 802,083.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.