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Finding the Third Proportional to 535,212 and 733,922

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Solution

The third proportional to 535,212 and 733,922 is: 1,006,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,212 : 733,922 = 733,922 : x
  2. Step 2: Convert to fraction form
    535,212/733,922 = 733,922/x
  3. Step 3: Cross multiply
    535,212x = 733,922 × 733,922
  4. Step 4: Simplify right side
    535,212x = 538,641,502,084
  5. Step 5: Solve for x
    x = 538,641,502,084/535,212
  6. Step 6: Final answer
    x = 1,006,407.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.