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Finding the Third Proportional to 472,011 and 725,935

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Solution

The third proportional to 472,011 and 725,935 is: 1,116,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,011 : 725,935 = 725,935 : x
  2. Step 2: Convert to fraction form
    472,011/725,935 = 725,935/x
  3. Step 3: Cross multiply
    472,011x = 725,935 × 725,935
  4. Step 4: Simplify right side
    472,011x = 526,981,624,225
  5. Step 5: Solve for x
    x = 526,981,624,225/472,011
  6. Step 6: Final answer
    x = 1,116,460.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.