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Finding the Third Proportional to 291,384 and 634,041

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Solution

The third proportional to 291,384 and 634,041 is: 1,379,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,384 : 634,041 = 634,041 : x
  2. Step 2: Convert to fraction form
    291,384/634,041 = 634,041/x
  3. Step 3: Cross multiply
    291,384x = 634,041 × 634,041
  4. Step 4: Simplify right side
    291,384x = 402,007,989,681
  5. Step 5: Solve for x
    x = 402,007,989,681/291,384
  6. Step 6: Final answer
    x = 1,379,650.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.