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Finding the Third Proportional to 531,808 and 795,904

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Solution

The third proportional to 531,808 and 795,904 is: 1,191,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,808 : 795,904 = 795,904 : x
  2. Step 2: Convert to fraction form
    531,808/795,904 = 795,904/x
  3. Step 3: Cross multiply
    531,808x = 795,904 × 795,904
  4. Step 4: Simplify right side
    531,808x = 633,463,177,216
  5. Step 5: Solve for x
    x = 633,463,177,216/531,808
  6. Step 6: Final answer
    x = 1,191,150.15

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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.