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Finding the Third Proportional to 343,953.84 and 515,106.84

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Solution

The third proportional to 343,953.84 and 515,106.84 is: 771,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,953.84 : 515,106.84 = 515,106.84 : x
  2. Step 2: Convert to fraction form
    343,953.84/515,106.84 = 515,106.84/x
  3. Step 3: Cross multiply
    343,953.84x = 515,106.84 × 515,106.84
  4. Step 4: Simplify right side
    343,953.84x = 265,335,060,478.09
  5. Step 5: Solve for x
    x = 265,335,060,478.09/343,953.84
  6. Step 6: Final answer
    x = 771,426.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.