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Finding the Third Proportional to 591,685.50 and 1,277,992.50

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Solution

The third proportional to 591,685.50 and 1,277,992.50 is: 2,760,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,685.50 : 1,277,992.50 = 1,277,992.50 : x
  2. Step 2: Convert to fraction form
    591,685.50/1,277,992.50 = 1,277,992.50/x
  3. Step 3: Cross multiply
    591,685.50x = 1,277,992.50 × 1,277,992.50
  4. Step 4: Simplify right side
    591,685.50x = 1,633,264,830,056.25
  5. Step 5: Solve for x
    x = 1,633,264,830,056.25/591,685.50
  6. Step 6: Final answer
    x = 2,760,359.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.