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Finding the Third Proportional to 276,608 and 625,024

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Solution

The third proportional to 276,608 and 625,024 is: 1,412,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,608 : 625,024 = 625,024 : x
  2. Step 2: Convert to fraction form
    276,608/625,024 = 625,024/x
  3. Step 3: Cross multiply
    276,608x = 625,024 × 625,024
  4. Step 4: Simplify right side
    276,608x = 390,655,000,576
  5. Step 5: Solve for x
    x = 390,655,000,576/276,608
  6. Step 6: Final answer
    x = 1,412,305.50

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.