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Finding the Third Proportional to 343,513 and 746,105

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Solution

The third proportional to 343,513 and 746,105 is: 1,620,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,513 : 746,105 = 746,105 : x
  2. Step 2: Convert to fraction form
    343,513/746,105 = 746,105/x
  3. Step 3: Cross multiply
    343,513x = 746,105 × 746,105
  4. Step 4: Simplify right side
    343,513x = 556,672,671,025
  5. Step 5: Solve for x
    x = 556,672,671,025/343,513
  6. Step 6: Final answer
    x = 1,620,528.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.