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Finding the Third Proportional to 346,516 and 746,600

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Solution

The third proportional to 346,516 and 746,600 is: 1,608,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,516 : 746,600 = 746,600 : x
  2. Step 2: Convert to fraction form
    346,516/746,600 = 746,600/x
  3. Step 3: Cross multiply
    346,516x = 746,600 × 746,600
  4. Step 4: Simplify right side
    346,516x = 557,411,560,000
  5. Step 5: Solve for x
    x = 557,411,560,000/346,516
  6. Step 6: Final answer
    x = 1,608,617.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.