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Finding the Third Proportional to 340,516 and 515,508

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Solution

The third proportional to 340,516 and 515,508 is: 780,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,516 : 515,508 = 515,508 : x
  2. Step 2: Convert to fraction form
    340,516/515,508 = 515,508/x
  3. Step 3: Cross multiply
    340,516x = 515,508 × 515,508
  4. Step 4: Simplify right side
    340,516x = 265,748,498,064
  5. Step 5: Solve for x
    x = 265,748,498,064/340,516
  6. Step 6: Final answer
    x = 780,428.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.