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Finding the Third Proportional to 367,369 and 567,423

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Solution

The third proportional to 367,369 and 567,423 is: 876,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,369 : 567,423 = 567,423 : x
  2. Step 2: Convert to fraction form
    367,369/567,423 = 567,423/x
  3. Step 3: Cross multiply
    367,369x = 567,423 × 567,423
  4. Step 4: Simplify right side
    367,369x = 321,968,860,929
  5. Step 5: Solve for x
    x = 321,968,860,929/367,369
  6. Step 6: Final answer
    x = 876,418.15

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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.