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Finding the Third Proportional to 496,050.75 and 1,076,665.50

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Solution

The third proportional to 496,050.75 and 1,076,665.50 is: 2,336,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,050.75 : 1,076,665.50 = 1,076,665.50 : x
  2. Step 2: Convert to fraction form
    496,050.75/1,076,665.50 = 1,076,665.50/x
  3. Step 3: Cross multiply
    496,050.75x = 1,076,665.50 × 1,076,665.50
  4. Step 4: Simplify right side
    496,050.75x = 1,159,208,598,890.25
  5. Step 5: Solve for x
    x = 1,159,208,598,890.25/496,050.75
  6. Step 6: Final answer
    x = 2,336,875.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.