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Finding the Third Proportional to 531,862 and 798,166

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Solution

The third proportional to 531,862 and 798,166 is: 1,197,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,862 : 798,166 = 798,166 : x
  2. Step 2: Convert to fraction form
    531,862/798,166 = 798,166/x
  3. Step 3: Cross multiply
    531,862x = 798,166 × 798,166
  4. Step 4: Simplify right side
    531,862x = 637,068,963,556
  5. Step 5: Solve for x
    x = 637,068,963,556/531,862
  6. Step 6: Final answer
    x = 1,197,808.76

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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.