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Finding the Third Proportional to 330,980 and 714,434

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Solution

The third proportional to 330,980 and 714,434 is: 1,542,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,980 : 714,434 = 714,434 : x
  2. Step 2: Convert to fraction form
    330,980/714,434 = 714,434/x
  3. Step 3: Cross multiply
    330,980x = 714,434 × 714,434
  4. Step 4: Simplify right side
    330,980x = 510,415,940,356
  5. Step 5: Solve for x
    x = 510,415,940,356/330,980
  6. Step 6: Final answer
    x = 1,542,135.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.