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Finding the Third Proportional to 599,784.75 and 1,332,429.75

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Solution

The third proportional to 599,784.75 and 1,332,429.75 is: 2,960,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,784.75 : 1,332,429.75 = 1,332,429.75 : x
  2. Step 2: Convert to fraction form
    599,784.75/1,332,429.75 = 1,332,429.75/x
  3. Step 3: Cross multiply
    599,784.75x = 1,332,429.75 × 1,332,429.75
  4. Step 4: Simplify right side
    599,784.75x = 1,775,369,038,685.06
  5. Step 5: Solve for x
    x = 1,775,369,038,685.06/599,784.75
  6. Step 6: Final answer
    x = 2,960,010.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.