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Finding the Third Proportional to 469,311 and 703,982

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Solution

The third proportional to 469,311 and 703,982 is: 1,055,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,311 : 703,982 = 703,982 : x
  2. Step 2: Convert to fraction form
    469,311/703,982 = 703,982/x
  3. Step 3: Cross multiply
    469,311x = 703,982 × 703,982
  4. Step 4: Simplify right side
    469,311x = 495,590,656,324
  5. Step 5: Solve for x
    x = 495,590,656,324/469,311
  6. Step 6: Final answer
    x = 1,055,996.25

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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.