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Finding the Third Proportional to 550,480 and 775,200

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Solution

The third proportional to 550,480 and 775,200 is: 1,091,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,480 : 775,200 = 775,200 : x
  2. Step 2: Convert to fraction form
    550,480/775,200 = 775,200/x
  3. Step 3: Cross multiply
    550,480x = 775,200 × 775,200
  4. Step 4: Simplify right side
    550,480x = 600,935,040,000
  5. Step 5: Solve for x
    x = 600,935,040,000/550,480
  6. Step 6: Final answer
    x = 1,091,656.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.