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Finding the Third Proportional to 501,311.25 and 822,949.88

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Solution

The third proportional to 501,311.25 and 822,949.88 is: 1,350,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,311.25 : 822,949.88 = 822,949.88 : x
  2. Step 2: Convert to fraction form
    501,311.25/822,949.88 = 822,949.88/x
  3. Step 3: Cross multiply
    501,311.25x = 822,949.88 × 822,949.88
  4. Step 4: Simplify right side
    501,311.25x = 677,246,496,762.52
  5. Step 5: Solve for x
    x = 677,246,496,762.52/501,311.25
  6. Step 6: Final answer
    x = 1,350,950.13

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.