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Finding the Third Proportional to 329,967 and 514,671

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Solution

The third proportional to 329,967 and 514,671 is: 802,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,967 : 514,671 = 514,671 : x
  2. Step 2: Convert to fraction form
    329,967/514,671 = 514,671/x
  3. Step 3: Cross multiply
    329,967x = 514,671 × 514,671
  4. Step 4: Simplify right side
    329,967x = 264,886,238,241
  5. Step 5: Solve for x
    x = 264,886,238,241/329,967
  6. Step 6: Final answer
    x = 802,765.85

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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.