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Finding the Third Proportional to 344,924 and 515,260

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Solution

The third proportional to 344,924 and 515,260 is: 769,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,924 : 515,260 = 515,260 : x
  2. Step 2: Convert to fraction form
    344,924/515,260 = 515,260/x
  3. Step 3: Cross multiply
    344,924x = 515,260 × 515,260
  4. Step 4: Simplify right side
    344,924x = 265,492,867,600
  5. Step 5: Solve for x
    x = 265,492,867,600/344,924
  6. Step 6: Final answer
    x = 769,714.10

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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.