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Finding the Third Proportional to 351,100 and 501,726

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Solution

The third proportional to 351,100 and 501,726 is: 716,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,100 : 501,726 = 501,726 : x
  2. Step 2: Convert to fraction form
    351,100/501,726 = 501,726/x
  3. Step 3: Cross multiply
    351,100x = 501,726 × 501,726
  4. Step 4: Simplify right side
    351,100x = 251,728,979,076
  5. Step 5: Solve for x
    x = 251,728,979,076/351,100
  6. Step 6: Final answer
    x = 716,972.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.