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Finding the Third Proportional to 382,522.50 and 590,240.25

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Solution

The third proportional to 382,522.50 and 590,240.25 is: 910,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,522.50 : 590,240.25 = 590,240.25 : x
  2. Step 2: Convert to fraction form
    382,522.50/590,240.25 = 590,240.25/x
  3. Step 3: Cross multiply
    382,522.50x = 590,240.25 × 590,240.25
  4. Step 4: Simplify right side
    382,522.50x = 348,383,552,720.06
  5. Step 5: Solve for x
    x = 348,383,552,720.06/382,522.50
  6. Step 6: Final answer
    x = 910,753.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.