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Finding the Third Proportional to 292,361.34 and 629,839.69

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Solution

The third proportional to 292,361.34 and 629,839.69 is: 1,356,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,361.34 : 629,839.69 = 629,839.69 : x
  2. Step 2: Convert to fraction form
    292,361.34/629,839.69 = 629,839.69/x
  3. Step 3: Cross multiply
    292,361.34x = 629,839.69 × 629,839.69
  4. Step 4: Simplify right side
    292,361.34x = 396,698,031,950.10
  5. Step 5: Solve for x
    x = 396,698,031,950.10/292,361.34
  6. Step 6: Final answer
    x = 1,356,875.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.