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Finding the Third Proportional to 334,734 and 735,804

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Solution

The third proportional to 334,734 and 735,804 is: 1,617,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,734 : 735,804 = 735,804 : x
  2. Step 2: Convert to fraction form
    334,734/735,804 = 735,804/x
  3. Step 3: Cross multiply
    334,734x = 735,804 × 735,804
  4. Step 4: Simplify right side
    334,734x = 541,407,526,416
  5. Step 5: Solve for x
    x = 541,407,526,416/334,734
  6. Step 6: Final answer
    x = 1,617,426.15

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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.