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Finding the Third Proportional to 384,224 and 617,346

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Solution

The third proportional to 384,224 and 617,346 is: 991,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,224 : 617,346 = 617,346 : x
  2. Step 2: Convert to fraction form
    384,224/617,346 = 617,346/x
  3. Step 3: Cross multiply
    384,224x = 617,346 × 617,346
  4. Step 4: Simplify right side
    384,224x = 381,116,083,716
  5. Step 5: Solve for x
    x = 381,116,083,716/384,224
  6. Step 6: Final answer
    x = 991,911.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.