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Finding the Third Proportional to 293,008 and 631,520

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Solution

The third proportional to 293,008 and 631,520 is: 1,361,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,008 : 631,520 = 631,520 : x
  2. Step 2: Convert to fraction form
    293,008/631,520 = 631,520/x
  3. Step 3: Cross multiply
    293,008x = 631,520 × 631,520
  4. Step 4: Simplify right side
    293,008x = 398,817,510,400
  5. Step 5: Solve for x
    x = 398,817,510,400/293,008
  6. Step 6: Final answer
    x = 1,361,114.75

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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.