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Finding the Third Proportional to 341,513 and 513,372

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Solution

The third proportional to 341,513 and 513,372 is: 771,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,513 : 513,372 = 513,372 : x
  2. Step 2: Convert to fraction form
    341,513/513,372 = 513,372/x
  3. Step 3: Cross multiply
    341,513x = 513,372 × 513,372
  4. Step 4: Simplify right side
    341,513x = 263,550,810,384
  5. Step 5: Solve for x
    x = 263,550,810,384/341,513
  6. Step 6: Final answer
    x = 771,715.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.