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Finding the Third Proportional to 289,684 and 614,360

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Solution

The third proportional to 289,684 and 614,360 is: 1,302,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,684 : 614,360 = 614,360 : x
  2. Step 2: Convert to fraction form
    289,684/614,360 = 614,360/x
  3. Step 3: Cross multiply
    289,684x = 614,360 × 614,360
  4. Step 4: Simplify right side
    289,684x = 377,438,209,600
  5. Step 5: Solve for x
    x = 377,438,209,600/289,684
  6. Step 6: Final answer
    x = 1,302,930.81

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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.