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Finding the Third Proportional to 330,981 and 714,435

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Solution

The third proportional to 330,981 and 714,435 is: 1,542,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,981 : 714,435 = 714,435 : x
  2. Step 2: Convert to fraction form
    330,981/714,435 = 714,435/x
  3. Step 3: Cross multiply
    330,981x = 714,435 × 714,435
  4. Step 4: Simplify right side
    330,981x = 510,417,369,225
  5. Step 5: Solve for x
    x = 510,417,369,225/330,981
  6. Step 6: Final answer
    x = 1,542,134.95

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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.