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Finding the Third Proportional to 463,598.44 and 993,733.31

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Solution

The third proportional to 463,598.44 and 993,733.31 is: 2,130,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,598.44 : 993,733.31 = 993,733.31 : x
  2. Step 2: Convert to fraction form
    463,598.44/993,733.31 = 993,733.31/x
  3. Step 3: Cross multiply
    463,598.44x = 993,733.31 × 993,733.31
  4. Step 4: Simplify right side
    463,598.44x = 987,505,896,372.22
  5. Step 5: Solve for x
    x = 987,505,896,372.22/463,598.44
  6. Step 6: Final answer
    x = 2,130,088.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.