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Finding the Third Proportional to 379,528 and 817,704

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Solution

The third proportional to 379,528 and 817,704 is: 1,761,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,528 : 817,704 = 817,704 : x
  2. Step 2: Convert to fraction form
    379,528/817,704 = 817,704/x
  3. Step 3: Cross multiply
    379,528x = 817,704 × 817,704
  4. Step 4: Simplify right side
    379,528x = 668,639,831,616
  5. Step 5: Solve for x
    x = 668,639,831,616/379,528
  6. Step 6: Final answer
    x = 1,761,766.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.