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Finding the Third Proportional to 479,628 and 703,889

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Solution

The third proportional to 479,628 and 703,889 is: 1,033,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,628 : 703,889 = 703,889 : x
  2. Step 2: Convert to fraction form
    479,628/703,889 = 703,889/x
  3. Step 3: Cross multiply
    479,628x = 703,889 × 703,889
  4. Step 4: Simplify right side
    479,628x = 495,459,724,321
  5. Step 5: Solve for x
    x = 495,459,724,321/479,628
  6. Step 6: Final answer
    x = 1,033,008.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.