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Finding the Third Proportional to 531,864 and 798,168

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Solution

The third proportional to 531,864 and 798,168 is: 1,197,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,864 : 798,168 = 798,168 : x
  2. Step 2: Convert to fraction form
    531,864/798,168 = 798,168/x
  3. Step 3: Cross multiply
    531,864x = 798,168 × 798,168
  4. Step 4: Simplify right side
    531,864x = 637,072,156,224
  5. Step 5: Solve for x
    x = 637,072,156,224/531,864
  6. Step 6: Final answer
    x = 1,197,810.26

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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.