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Finding the Third Proportional to 349,766 and 540,106

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Solution

The third proportional to 349,766 and 540,106 is: 834,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,766 : 540,106 = 540,106 : x
  2. Step 2: Convert to fraction form
    349,766/540,106 = 540,106/x
  3. Step 3: Cross multiply
    349,766x = 540,106 × 540,106
  4. Step 4: Simplify right side
    349,766x = 291,714,491,236
  5. Step 5: Solve for x
    x = 291,714,491,236/349,766
  6. Step 6: Final answer
    x = 834,027.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.