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Finding the Third Proportional to 529,026 and 804,610

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Solution

The third proportional to 529,026 and 804,610 is: 1,223,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,026 : 804,610 = 804,610 : x
  2. Step 2: Convert to fraction form
    529,026/804,610 = 804,610/x
  3. Step 3: Cross multiply
    529,026x = 804,610 × 804,610
  4. Step 4: Simplify right side
    529,026x = 647,397,252,100
  5. Step 5: Solve for x
    x = 647,397,252,100/529,026
  6. Step 6: Final answer
    x = 1,223,753.18

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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.