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Finding the Third Proportional to 343,246 and 512,924

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Solution

The third proportional to 343,246 and 512,924 is: 766,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,246 : 512,924 = 512,924 : x
  2. Step 2: Convert to fraction form
    343,246/512,924 = 512,924/x
  3. Step 3: Cross multiply
    343,246x = 512,924 × 512,924
  4. Step 4: Simplify right side
    343,246x = 263,091,029,776
  5. Step 5: Solve for x
    x = 263,091,029,776/343,246
  6. Step 6: Final answer
    x = 766,479.52

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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.