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Finding the Third Proportional to 531,906 and 795,984

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Solution

The third proportional to 531,906 and 795,984 is: 1,191,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,906 : 795,984 = 795,984 : x
  2. Step 2: Convert to fraction form
    531,906/795,984 = 795,984/x
  3. Step 3: Cross multiply
    531,906x = 795,984 × 795,984
  4. Step 4: Simplify right side
    531,906x = 633,590,528,256
  5. Step 5: Solve for x
    x = 633,590,528,256/531,906
  6. Step 6: Final answer
    x = 1,191,170.11

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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.