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Finding the Third Proportional to 351,733 and 544,410

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Solution

The third proportional to 351,733 and 544,410 is: 842,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,733 : 544,410 = 544,410 : x
  2. Step 2: Convert to fraction form
    351,733/544,410 = 544,410/x
  3. Step 3: Cross multiply
    351,733x = 544,410 × 544,410
  4. Step 4: Simplify right side
    351,733x = 296,382,248,100
  5. Step 5: Solve for x
    x = 296,382,248,100/351,733
  6. Step 6: Final answer
    x = 842,634.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.