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Finding the Third Proportional to 536,496 and 804,808

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Solution

The third proportional to 536,496 and 804,808 is: 1,207,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,496 : 804,808 = 804,808 : x
  2. Step 2: Convert to fraction form
    536,496/804,808 = 804,808/x
  3. Step 3: Cross multiply
    536,496x = 804,808 × 804,808
  4. Step 4: Simplify right side
    536,496x = 647,715,916,864
  5. Step 5: Solve for x
    x = 647,715,916,864/536,496
  6. Step 6: Final answer
    x = 1,207,308.01

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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.