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Finding the Third Proportional to 310,136 and 491,896

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Solution

The third proportional to 310,136 and 491,896 is: 780,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,136 : 491,896 = 491,896 : x
  2. Step 2: Convert to fraction form
    310,136/491,896 = 491,896/x
  3. Step 3: Cross multiply
    310,136x = 491,896 × 491,896
  4. Step 4: Simplify right side
    310,136x = 241,961,674,816
  5. Step 5: Solve for x
    x = 241,961,674,816/310,136
  6. Step 6: Final answer
    x = 780,179.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.