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Finding the Third Proportional to 355,771.50 and 777,909

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Solution

The third proportional to 355,771.50 and 777,909 is: 1,700,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,771.50 : 777,909 = 777,909 : x
  2. Step 2: Convert to fraction form
    355,771.50/777,909 = 777,909/x
  3. Step 3: Cross multiply
    355,771.50x = 777,909 × 777,909
  4. Step 4: Simplify right side
    355,771.50x = 605,142,412,281
  5. Step 5: Solve for x
    x = 605,142,412,281/355,771.50
  6. Step 6: Final answer
    x = 1,700,929.99

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