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Finding the Third Proportional to 507,336.75 and 1,056,649.50

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Solution

The third proportional to 507,336.75 and 1,056,649.50 is: 2,200,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,336.75 : 1,056,649.50 = 1,056,649.50 : x
  2. Step 2: Convert to fraction form
    507,336.75/1,056,649.50 = 1,056,649.50/x
  3. Step 3: Cross multiply
    507,336.75x = 1,056,649.50 × 1,056,649.50
  4. Step 4: Simplify right side
    507,336.75x = 1,116,508,165,850.25
  5. Step 5: Solve for x
    x = 1,116,508,165,850.25/507,336.75
  6. Step 6: Final answer
    x = 2,200,724.01

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.