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Finding the Third Proportional to 350,007 and 524,901

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Solution

The third proportional to 350,007 and 524,901 is: 787,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,007 : 524,901 = 524,901 : x
  2. Step 2: Convert to fraction form
    350,007/524,901 = 524,901/x
  3. Step 3: Cross multiply
    350,007x = 524,901 × 524,901
  4. Step 4: Simplify right side
    350,007x = 275,521,059,801
  5. Step 5: Solve for x
    x = 275,521,059,801/350,007
  6. Step 6: Final answer
    x = 787,187.28

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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.