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Finding the Third Proportional to 524,487.38 and 796,397.63

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Solution

The third proportional to 524,487.38 and 796,397.63 is: 1,209,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,487.38 : 796,397.63 = 796,397.63 : x
  2. Step 2: Convert to fraction form
    524,487.38/796,397.63 = 796,397.63/x
  3. Step 3: Cross multiply
    524,487.38x = 796,397.63 × 796,397.63
  4. Step 4: Simplify right side
    524,487.38x = 634,249,177,105.64
  5. Step 5: Solve for x
    x = 634,249,177,105.64/524,487.38
  6. Step 6: Final answer
    x = 1,209,274.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.