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Finding the Third Proportional to 472,844 and 709,738

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Solution

The third proportional to 472,844 and 709,738 is: 1,065,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,844 : 709,738 = 709,738 : x
  2. Step 2: Convert to fraction form
    472,844/709,738 = 709,738/x
  3. Step 3: Cross multiply
    472,844x = 709,738 × 709,738
  4. Step 4: Simplify right side
    472,844x = 503,728,028,644
  5. Step 5: Solve for x
    x = 503,728,028,644/472,844
  6. Step 6: Final answer
    x = 1,065,315.47

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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.