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Finding the Third Proportional to 344,434 and 537,059

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Solution

The third proportional to 344,434 and 537,059 is: 837,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,434 : 537,059 = 537,059 : x
  2. Step 2: Convert to fraction form
    344,434/537,059 = 537,059/x
  3. Step 3: Cross multiply
    344,434x = 537,059 × 537,059
  4. Step 4: Simplify right side
    344,434x = 288,432,369,481
  5. Step 5: Solve for x
    x = 288,432,369,481/344,434
  6. Step 6: Final answer
    x = 837,409.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.