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Finding the Third Proportional to 334,712 and 735,763

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Solution

The third proportional to 334,712 and 735,763 is: 1,617,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,712 : 735,763 = 735,763 : x
  2. Step 2: Convert to fraction form
    334,712/735,763 = 735,763/x
  3. Step 3: Cross multiply
    334,712x = 735,763 × 735,763
  4. Step 4: Simplify right side
    334,712x = 541,347,192,169
  5. Step 5: Solve for x
    x = 541,347,192,169/334,712
  6. Step 6: Final answer
    x = 1,617,352.21

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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.