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Finding the Third Proportional to 293,010 and 631,524

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Solution

The third proportional to 293,010 and 631,524 is: 1,361,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,010 : 631,524 = 631,524 : x
  2. Step 2: Convert to fraction form
    293,010/631,524 = 631,524/x
  3. Step 3: Cross multiply
    293,010x = 631,524 × 631,524
  4. Step 4: Simplify right side
    293,010x = 398,822,562,576
  5. Step 5: Solve for x
    x = 398,822,562,576/293,010
  6. Step 6: Final answer
    x = 1,361,122.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.