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Finding the Third Proportional to 500,880 and 751,536

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Solution

The third proportional to 500,880 and 751,536 is: 1,127,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,880 : 751,536 = 751,536 : x
  2. Step 2: Convert to fraction form
    500,880/751,536 = 751,536/x
  3. Step 3: Cross multiply
    500,880x = 751,536 × 751,536
  4. Step 4: Simplify right side
    500,880x = 564,806,359,296
  5. Step 5: Solve for x
    x = 564,806,359,296/500,880
  6. Step 6: Final answer
    x = 1,127,628.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.