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Finding the Third Proportional to 289,784 and 614,452

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Solution

The third proportional to 289,784 and 614,452 is: 1,302,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,784 : 614,452 = 614,452 : x
  2. Step 2: Convert to fraction form
    289,784/614,452 = 614,452/x
  3. Step 3: Cross multiply
    289,784x = 614,452 × 614,452
  4. Step 4: Simplify right side
    289,784x = 377,551,260,304
  5. Step 5: Solve for x
    x = 377,551,260,304/289,784
  6. Step 6: Final answer
    x = 1,302,871.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.