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Finding the Third Proportional to 275,846 and 591,056

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Solution

The third proportional to 275,846 and 591,056 is: 1,266,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,846 : 591,056 = 591,056 : x
  2. Step 2: Convert to fraction form
    275,846/591,056 = 591,056/x
  3. Step 3: Cross multiply
    275,846x = 591,056 × 591,056
  4. Step 4: Simplify right side
    275,846x = 349,347,195,136
  5. Step 5: Solve for x
    x = 349,347,195,136/275,846
  6. Step 6: Final answer
    x = 1,266,457.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.