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Finding the Third Proportional to 276,888 and 598,224

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Solution

The third proportional to 276,888 and 598,224 is: 1,292,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,888 : 598,224 = 598,224 : x
  2. Step 2: Convert to fraction form
    276,888/598,224 = 598,224/x
  3. Step 3: Cross multiply
    276,888x = 598,224 × 598,224
  4. Step 4: Simplify right side
    276,888x = 357,871,954,176
  5. Step 5: Solve for x
    x = 357,871,954,176/276,888
  6. Step 6: Final answer
    x = 1,292,479.10

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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.