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Finding the Third Proportional to 373,032 and 816,048

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Solution

The third proportional to 373,032 and 816,048 is: 1,785,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,032 : 816,048 = 816,048 : x
  2. Step 2: Convert to fraction form
    373,032/816,048 = 816,048/x
  3. Step 3: Cross multiply
    373,032x = 816,048 × 816,048
  4. Step 4: Simplify right side
    373,032x = 665,934,338,304
  5. Step 5: Solve for x
    x = 665,934,338,304/373,032
  6. Step 6: Final answer
    x = 1,785,193.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.