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Finding the Third Proportional to 579,784.50 and 867,007.50

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Solution

The third proportional to 579,784.50 and 867,007.50 is: 1,296,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,784.50 : 867,007.50 = 867,007.50 : x
  2. Step 2: Convert to fraction form
    579,784.50/867,007.50 = 867,007.50/x
  3. Step 3: Cross multiply
    579,784.50x = 867,007.50 × 867,007.50
  4. Step 4: Simplify right side
    579,784.50x = 751,702,005,056.25
  5. Step 5: Solve for x
    x = 751,702,005,056.25/579,784.50
  6. Step 6: Final answer
    x = 1,296,519.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.