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Finding the Third Proportional to 351,938 and 566,643

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Solution

The third proportional to 351,938 and 566,643 is: 912,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,938 : 566,643 = 566,643 : x
  2. Step 2: Convert to fraction form
    351,938/566,643 = 566,643/x
  3. Step 3: Cross multiply
    351,938x = 566,643 × 566,643
  4. Step 4: Simplify right side
    351,938x = 321,084,289,449
  5. Step 5: Solve for x
    x = 321,084,289,449/351,938
  6. Step 6: Final answer
    x = 912,331.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.