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Finding the Third Proportional to 455,280 and 496,104

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Solution

The third proportional to 455,280 and 496,104 is: 540,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,280 : 496,104 = 496,104 : x
  2. Step 2: Convert to fraction form
    455,280/496,104 = 496,104/x
  3. Step 3: Cross multiply
    455,280x = 496,104 × 496,104
  4. Step 4: Simplify right side
    455,280x = 246,119,178,816
  5. Step 5: Solve for x
    x = 246,119,178,816/455,280
  6. Step 6: Final answer
    x = 540,588.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.