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Finding the Third Proportional to 433,468 and 927,024

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Solution

The third proportional to 433,468 and 927,024 is: 1,982,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,468 : 927,024 = 927,024 : x
  2. Step 2: Convert to fraction form
    433,468/927,024 = 927,024/x
  3. Step 3: Cross multiply
    433,468x = 927,024 × 927,024
  4. Step 4: Simplify right side
    433,468x = 859,373,496,576
  5. Step 5: Solve for x
    x = 859,373,496,576/433,468
  6. Step 6: Final answer
    x = 1,982,553.49

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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.