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Finding the Third Proportional to 330,968 and 714,410

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Solution

The third proportional to 330,968 and 714,410 is: 1,542,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,968 : 714,410 = 714,410 : x
  2. Step 2: Convert to fraction form
    330,968/714,410 = 714,410/x
  3. Step 3: Cross multiply
    330,968x = 714,410 × 714,410
  4. Step 4: Simplify right side
    330,968x = 510,381,648,100
  5. Step 5: Solve for x
    x = 510,381,648,100/330,968
  6. Step 6: Final answer
    x = 1,542,087.60

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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.