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Finding the Third Proportional to 520,699.50 and 1,055,884.50

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Solution

The third proportional to 520,699.50 and 1,055,884.50 is: 2,141,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,699.50 : 1,055,884.50 = 1,055,884.50 : x
  2. Step 2: Convert to fraction form
    520,699.50/1,055,884.50 = 1,055,884.50/x
  3. Step 3: Cross multiply
    520,699.50x = 1,055,884.50 × 1,055,884.50
  4. Step 4: Simplify right side
    520,699.50x = 1,114,892,077,340.25
  5. Step 5: Solve for x
    x = 1,114,892,077,340.25/520,699.50
  6. Step 6: Final answer
    x = 2,141,142.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.