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Finding the Third Proportional to 536,528 and 804,856

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Solution

The third proportional to 536,528 and 804,856 is: 1,207,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,528 : 804,856 = 804,856 : x
  2. Step 2: Convert to fraction form
    536,528/804,856 = 804,856/x
  3. Step 3: Cross multiply
    536,528x = 804,856 × 804,856
  4. Step 4: Simplify right side
    536,528x = 647,793,180,736
  5. Step 5: Solve for x
    x = 647,793,180,736/536,528
  6. Step 6: Final answer
    x = 1,207,380.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.