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Finding the Third Proportional to 334,714 and 735,767

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Solution

The third proportional to 334,714 and 735,767 is: 1,617,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,714 : 735,767 = 735,767 : x
  2. Step 2: Convert to fraction form
    334,714/735,767 = 735,767/x
  3. Step 3: Cross multiply
    334,714x = 735,767 × 735,767
  4. Step 4: Simplify right side
    334,714x = 541,353,078,289
  5. Step 5: Solve for x
    x = 541,353,078,289/334,714
  6. Step 6: Final answer
    x = 1,617,360.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.