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Finding the Third Proportional to 442,024 and 679,819

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Solution

The third proportional to 442,024 and 679,819 is: 1,045,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,024 : 679,819 = 679,819 : x
  2. Step 2: Convert to fraction form
    442,024/679,819 = 679,819/x
  3. Step 3: Cross multiply
    442,024x = 679,819 × 679,819
  4. Step 4: Simplify right side
    442,024x = 462,153,872,761
  5. Step 5: Solve for x
    x = 462,153,872,761/442,024
  6. Step 6: Final answer
    x = 1,045,540.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.