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Finding the Third Proportional to 469,306 and 703,974

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Solution

The third proportional to 469,306 and 703,974 is: 1,055,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,306 : 703,974 = 703,974 : x
  2. Step 2: Convert to fraction form
    469,306/703,974 = 703,974/x
  3. Step 3: Cross multiply
    469,306x = 703,974 × 703,974
  4. Step 4: Simplify right side
    469,306x = 495,579,392,676
  5. Step 5: Solve for x
    x = 495,579,392,676/469,306
  6. Step 6: Final answer
    x = 1,055,983.50

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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.