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Finding the Third Proportional to 479,504 and 720,486

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Solution

The third proportional to 479,504 and 720,486 is: 1,082,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,504 : 720,486 = 720,486 : x
  2. Step 2: Convert to fraction form
    479,504/720,486 = 720,486/x
  3. Step 3: Cross multiply
    479,504x = 720,486 × 720,486
  4. Step 4: Simplify right side
    479,504x = 519,100,076,196
  5. Step 5: Solve for x
    x = 519,100,076,196/479,504
  6. Step 6: Final answer
    x = 1,082,577.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.