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Finding the Third Proportional to 276,480 and 604,800

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Solution

The third proportional to 276,480 and 604,800 is: 1,323,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,480 : 604,800 = 604,800 : x
  2. Step 2: Convert to fraction form
    276,480/604,800 = 604,800/x
  3. Step 3: Cross multiply
    276,480x = 604,800 × 604,800
  4. Step 4: Simplify right side
    276,480x = 365,783,040,000
  5. Step 5: Solve for x
    x = 365,783,040,000/276,480
  6. Step 6: Final answer
    x = 1,323,000

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.