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Finding the Third Proportional to 529,012 and 804,592

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Solution

The third proportional to 529,012 and 804,592 is: 1,223,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,012 : 804,592 = 804,592 : x
  2. Step 2: Convert to fraction form
    529,012/804,592 = 804,592/x
  3. Step 3: Cross multiply
    529,012x = 804,592 × 804,592
  4. Step 4: Simplify right side
    529,012x = 647,368,286,464
  5. Step 5: Solve for x
    x = 647,368,286,464/529,012
  6. Step 6: Final answer
    x = 1,223,730.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.