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Finding the Third Proportional to 504,966.75 and 1,079,917.50

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Solution

The third proportional to 504,966.75 and 1,079,917.50 is: 2,309,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,966.75 : 1,079,917.50 = 1,079,917.50 : x
  2. Step 2: Convert to fraction form
    504,966.75/1,079,917.50 = 1,079,917.50/x
  3. Step 3: Cross multiply
    504,966.75x = 1,079,917.50 × 1,079,917.50
  4. Step 4: Simplify right side
    504,966.75x = 1,166,221,806,806.25
  5. Step 5: Solve for x
    x = 1,166,221,806,806.25/504,966.75
  6. Step 6: Final answer
    x = 2,309,502.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.