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Finding the Third Proportional to 365,576 and 847,124

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Solution

The third proportional to 365,576 and 847,124 is: 1,962,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,576 : 847,124 = 847,124 : x
  2. Step 2: Convert to fraction form
    365,576/847,124 = 847,124/x
  3. Step 3: Cross multiply
    365,576x = 847,124 × 847,124
  4. Step 4: Simplify right side
    365,576x = 717,619,071,376
  5. Step 5: Solve for x
    x = 717,619,071,376/365,576
  6. Step 6: Final answer
    x = 1,962,981.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.