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Finding the Third Proportional to 509,206.50 and 1,120,108.50

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Solution

The third proportional to 509,206.50 and 1,120,108.50 is: 2,463,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,206.50 : 1,120,108.50 = 1,120,108.50 : x
  2. Step 2: Convert to fraction form
    509,206.50/1,120,108.50 = 1,120,108.50/x
  3. Step 3: Cross multiply
    509,206.50x = 1,120,108.50 × 1,120,108.50
  4. Step 4: Simplify right side
    509,206.50x = 1,254,643,051,772.25
  5. Step 5: Solve for x
    x = 1,254,643,051,772.25/509,206.50
  6. Step 6: Final answer
    x = 2,463,917.98

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Why These Related Problems?

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