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Finding the Third Proportional to 488,523.50 and 1,076,438

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Solution

The third proportional to 488,523.50 and 1,076,438 is: 2,371,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,523.50 : 1,076,438 = 1,076,438 : x
  2. Step 2: Convert to fraction form
    488,523.50/1,076,438 = 1,076,438/x
  3. Step 3: Cross multiply
    488,523.50x = 1,076,438 × 1,076,438
  4. Step 4: Simplify right side
    488,523.50x = 1,158,718,767,844
  5. Step 5: Solve for x
    x = 1,158,718,767,844/488,523.50
  6. Step 6: Final answer
    x = 2,371,879.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.