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Finding the Third Proportional to 268,056 and 584,160

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Solution

The third proportional to 268,056 and 584,160 is: 1,273,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,056 : 584,160 = 584,160 : x
  2. Step 2: Convert to fraction form
    268,056/584,160 = 584,160/x
  3. Step 3: Cross multiply
    268,056x = 584,160 × 584,160
  4. Step 4: Simplify right side
    268,056x = 341,242,905,600
  5. Step 5: Solve for x
    x = 341,242,905,600/268,056
  6. Step 6: Final answer
    x = 1,273,028.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.