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Finding the Third Proportional to 463,372 and 740,021

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Solution

The third proportional to 463,372 and 740,021 is: 1,181,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,372 : 740,021 = 740,021 : x
  2. Step 2: Convert to fraction form
    463,372/740,021 = 740,021/x
  3. Step 3: Cross multiply
    463,372x = 740,021 × 740,021
  4. Step 4: Simplify right side
    463,372x = 547,631,080,441
  5. Step 5: Solve for x
    x = 547,631,080,441/463,372
  6. Step 6: Final answer
    x = 1,181,838.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.