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Finding the Third Proportional to 355,752 and 770,552

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Solution

The third proportional to 355,752 and 770,552 is: 1,669,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,752 : 770,552 = 770,552 : x
  2. Step 2: Convert to fraction form
    355,752/770,552 = 770,552/x
  3. Step 3: Cross multiply
    355,752x = 770,552 × 770,552
  4. Step 4: Simplify right side
    355,752x = 593,750,384,704
  5. Step 5: Solve for x
    x = 593,750,384,704/355,752
  6. Step 6: Final answer
    x = 1,669,000.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.