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Finding the Third Proportional to 273,492 and 590,724

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Solution

The third proportional to 273,492 and 590,724 is: 1,275,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,492 : 590,724 = 590,724 : x
  2. Step 2: Convert to fraction form
    273,492/590,724 = 590,724/x
  3. Step 3: Cross multiply
    273,492x = 590,724 × 590,724
  4. Step 4: Simplify right side
    273,492x = 348,954,844,176
  5. Step 5: Solve for x
    x = 348,954,844,176/273,492
  6. Step 6: Final answer
    x = 1,275,923.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.