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Finding the Third Proportional to 536,542 and 804,877

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Solution

The third proportional to 536,542 and 804,877 is: 1,207,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,542 : 804,877 = 804,877 : x
  2. Step 2: Convert to fraction form
    536,542/804,877 = 804,877/x
  3. Step 3: Cross multiply
    536,542x = 804,877 × 804,877
  4. Step 4: Simplify right side
    536,542x = 647,826,985,129
  5. Step 5: Solve for x
    x = 647,826,985,129/536,542
  6. Step 6: Final answer
    x = 1,207,411.51

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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.