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Finding the Third Proportional to 536,500 and 804,814

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Solution

The third proportional to 536,500 and 804,814 is: 1,207,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,500 : 804,814 = 804,814 : x
  2. Step 2: Convert to fraction form
    536,500/804,814 = 804,814/x
  3. Step 3: Cross multiply
    536,500x = 804,814 × 804,814
  4. Step 4: Simplify right side
    536,500x = 647,725,574,596
  5. Step 5: Solve for x
    x = 647,725,574,596/536,500
  6. Step 6: Final answer
    x = 1,207,317.01

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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.