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Finding the Third Proportional to 382,584 and 561,588

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Solution

The third proportional to 382,584 and 561,588 is: 824,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,584 : 561,588 = 561,588 : x
  2. Step 2: Convert to fraction form
    382,584/561,588 = 561,588/x
  3. Step 3: Cross multiply
    382,584x = 561,588 × 561,588
  4. Step 4: Simplify right side
    382,584x = 315,381,081,744
  5. Step 5: Solve for x
    x = 315,381,081,744/382,584
  6. Step 6: Final answer
    x = 824,344.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.