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Finding the Third Proportional to 313,605 and 477,783

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Solution

The third proportional to 313,605 and 477,783 is: 727,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,605 : 477,783 = 477,783 : x
  2. Step 2: Convert to fraction form
    313,605/477,783 = 477,783/x
  3. Step 3: Cross multiply
    313,605x = 477,783 × 477,783
  4. Step 4: Simplify right side
    313,605x = 228,276,595,089
  5. Step 5: Solve for x
    x = 228,276,595,089/313,605
  6. Step 6: Final answer
    x = 727,911.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.