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Finding the Third Proportional to 270,056 and 581,664

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Solution

The third proportional to 270,056 and 581,664 is: 1,252,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,056 : 581,664 = 581,664 : x
  2. Step 2: Convert to fraction form
    270,056/581,664 = 581,664/x
  3. Step 3: Cross multiply
    270,056x = 581,664 × 581,664
  4. Step 4: Simplify right side
    270,056x = 338,333,008,896
  5. Step 5: Solve for x
    x = 338,333,008,896/270,056
  6. Step 6: Final answer
    x = 1,252,825.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.