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Finding the Third Proportional to 514,128 and 804,012

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Solution

The third proportional to 514,128 and 804,012 is: 1,257,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,128 : 804,012 = 804,012 : x
  2. Step 2: Convert to fraction form
    514,128/804,012 = 804,012/x
  3. Step 3: Cross multiply
    514,128x = 804,012 × 804,012
  4. Step 4: Simplify right side
    514,128x = 646,435,296,144
  5. Step 5: Solve for x
    x = 646,435,296,144/514,128
  6. Step 6: Final answer
    x = 1,257,343.11

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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.