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Finding the Third Proportional to 344,926 and 515,264

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Solution

The third proportional to 344,926 and 515,264 is: 769,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,926 : 515,264 = 515,264 : x
  2. Step 2: Convert to fraction form
    344,926/515,264 = 515,264/x
  3. Step 3: Cross multiply
    344,926x = 515,264 × 515,264
  4. Step 4: Simplify right side
    344,926x = 265,496,989,696
  5. Step 5: Solve for x
    x = 265,496,989,696/344,926
  6. Step 6: Final answer
    x = 769,721.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.