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Finding the Third Proportional to 501,183.70 and 822,767.63

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Solution

The third proportional to 501,183.70 and 822,767.63 is: 1,350,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,183.70 : 822,767.63 = 822,767.63 : x
  2. Step 2: Convert to fraction form
    501,183.70/822,767.63 = 822,767.63/x
  3. Step 3: Cross multiply
    501,183.70x = 822,767.63 × 822,767.63
  4. Step 4: Simplify right side
    501,183.70x = 676,946,564,748.14
  5. Step 5: Solve for x
    x = 676,946,564,748.14/501,183.70
  6. Step 6: Final answer
    x = 1,350,695.48

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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.