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Finding the Third Proportional to 308,934 and 477,588

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Solution

The third proportional to 308,934 and 477,588 is: 738,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,934 : 477,588 = 477,588 : x
  2. Step 2: Convert to fraction form
    308,934/477,588 = 477,588/x
  3. Step 3: Cross multiply
    308,934x = 477,588 × 477,588
  4. Step 4: Simplify right side
    308,934x = 228,090,297,744
  5. Step 5: Solve for x
    x = 228,090,297,744/308,934
  6. Step 6: Final answer
    x = 738,314.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.