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Finding the Third Proportional to 341,334 and 452,935

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Solution

The third proportional to 341,334 and 452,935 is: 601,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,334 : 452,935 = 452,935 : x
  2. Step 2: Convert to fraction form
    341,334/452,935 = 452,935/x
  3. Step 3: Cross multiply
    341,334x = 452,935 × 452,935
  4. Step 4: Simplify right side
    341,334x = 205,150,114,225
  5. Step 5: Solve for x
    x = 205,150,114,225/341,334
  6. Step 6: Final answer
    x = 601,024.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.