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Finding the Third Proportional to 367,374 and 567,430

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Solution

The third proportional to 367,374 and 567,430 is: 876,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,374 : 567,430 = 567,430 : x
  2. Step 2: Convert to fraction form
    367,374/567,430 = 567,430/x
  3. Step 3: Cross multiply
    367,374x = 567,430 × 567,430
  4. Step 4: Simplify right side
    367,374x = 321,976,804,900
  5. Step 5: Solve for x
    x = 321,976,804,900/367,374
  6. Step 6: Final answer
    x = 876,427.85

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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.