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Finding the Third Proportional to 276,033 and 591,968.25

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Solution

The third proportional to 276,033 and 591,968.25 is: 1,269,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,033 : 591,968.25 = 591,968.25 : x
  2. Step 2: Convert to fraction form
    276,033/591,968.25 = 591,968.25/x
  3. Step 3: Cross multiply
    276,033x = 591,968.25 × 591,968.25
  4. Step 4: Simplify right side
    276,033x = 350,426,409,008.06
  5. Step 5: Solve for x
    x = 350,426,409,008.06/276,033
  6. Step 6: Final answer
    x = 1,269,509.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.