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Finding the Third Proportional to 330,966 and 714,411

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Solution

The third proportional to 330,966 and 714,411 is: 1,542,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,966 : 714,411 = 714,411 : x
  2. Step 2: Convert to fraction form
    330,966/714,411 = 714,411/x
  3. Step 3: Cross multiply
    330,966x = 714,411 × 714,411
  4. Step 4: Simplify right side
    330,966x = 510,383,076,921
  5. Step 5: Solve for x
    x = 510,383,076,921/330,966
  6. Step 6: Final answer
    x = 1,542,101.23

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Why These Related Problems?

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