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Finding the Third Proportional to 258,750 and 411,453

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Solution

The third proportional to 258,750 and 411,453 is: 654,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,750 : 411,453 = 411,453 : x
  2. Step 2: Convert to fraction form
    258,750/411,453 = 411,453/x
  3. Step 3: Cross multiply
    258,750x = 411,453 × 411,453
  4. Step 4: Simplify right side
    258,750x = 169,293,571,209
  5. Step 5: Solve for x
    x = 169,293,571,209/258,750
  6. Step 6: Final answer
    x = 654,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.