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Finding the Third Proportional to 293,337 and 440,653.50

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Solution

The third proportional to 293,337 and 440,653.50 is: 661,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,337 : 440,653.50 = 440,653.50 : x
  2. Step 2: Convert to fraction form
    293,337/440,653.50 = 440,653.50/x
  3. Step 3: Cross multiply
    293,337x = 440,653.50 × 440,653.50
  4. Step 4: Simplify right side
    293,337x = 194,175,507,062.25
  5. Step 5: Solve for x
    x = 194,175,507,062.25/293,337
  6. Step 6: Final answer
    x = 661,953.68

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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.