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Finding the Third Proportional to 320,415.75 and 756,373.78

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Solution

The third proportional to 320,415.75 and 756,373.78 is: 1,785,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,415.75 : 756,373.78 = 756,373.78 : x
  2. Step 2: Convert to fraction form
    320,415.75/756,373.78 = 756,373.78/x
  3. Step 3: Cross multiply
    320,415.75x = 756,373.78 × 756,373.78
  4. Step 4: Simplify right side
    320,415.75x = 572,101,296,962.42
  5. Step 5: Solve for x
    x = 572,101,296,962.42/320,415.75
  6. Step 6: Final answer
    x = 1,785,496.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.