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Finding the Third Proportional to 266,744 and 583,056

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Solution

The third proportional to 266,744 and 583,056 is: 1,274,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,744 : 583,056 = 583,056 : x
  2. Step 2: Convert to fraction form
    266,744/583,056 = 583,056/x
  3. Step 3: Cross multiply
    266,744x = 583,056 × 583,056
  4. Step 4: Simplify right side
    266,744x = 339,954,299,136
  5. Step 5: Solve for x
    x = 339,954,299,136/266,744
  6. Step 6: Final answer
    x = 1,274,459.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.