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Finding the Third Proportional to 355,772.50 and 777,911

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Solution

The third proportional to 355,772.50 and 777,911 is: 1,700,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,772.50 : 777,911 = 777,911 : x
  2. Step 2: Convert to fraction form
    355,772.50/777,911 = 777,911/x
  3. Step 3: Cross multiply
    355,772.50x = 777,911 × 777,911
  4. Step 4: Simplify right side
    355,772.50x = 605,145,523,921
  5. Step 5: Solve for x
    x = 605,145,523,921/355,772.50
  6. Step 6: Final answer
    x = 1,700,933.95

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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.