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Finding the Third Proportional to 351,936 and 566,640

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Solution

The third proportional to 351,936 and 566,640 is: 912,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,936 : 566,640 = 566,640 : x
  2. Step 2: Convert to fraction form
    351,936/566,640 = 566,640/x
  3. Step 3: Cross multiply
    351,936x = 566,640 × 566,640
  4. Step 4: Simplify right side
    351,936x = 321,080,889,600
  5. Step 5: Solve for x
    x = 321,080,889,600/351,936
  6. Step 6: Final answer
    x = 912,327.50

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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.