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Finding the Third Proportional to 341,190 and 522,216

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Solution

The third proportional to 341,190 and 522,216 is: 799,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,190 : 522,216 = 522,216 : x
  2. Step 2: Convert to fraction form
    341,190/522,216 = 522,216/x
  3. Step 3: Cross multiply
    341,190x = 522,216 × 522,216
  4. Step 4: Simplify right side
    341,190x = 272,709,550,656
  5. Step 5: Solve for x
    x = 272,709,550,656/341,190
  6. Step 6: Final answer
    x = 799,289.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.