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Finding the Third Proportional to 289,875 and 619,554

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Solution

The third proportional to 289,875 and 619,554 is: 1,324,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,875 : 619,554 = 619,554 : x
  2. Step 2: Convert to fraction form
    289,875/619,554 = 619,554/x
  3. Step 3: Cross multiply
    289,875x = 619,554 × 619,554
  4. Step 4: Simplify right side
    289,875x = 383,847,158,916
  5. Step 5: Solve for x
    x = 383,847,158,916/289,875
  6. Step 6: Final answer
    x = 1,324,181.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.