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Finding the Third Proportional to 500,857 and 1,077,643.50

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Solution

The third proportional to 500,857 and 1,077,643.50 is: 2,318,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,857 : 1,077,643.50 = 1,077,643.50 : x
  2. Step 2: Convert to fraction form
    500,857/1,077,643.50 = 1,077,643.50/x
  3. Step 3: Cross multiply
    500,857x = 1,077,643.50 × 1,077,643.50
  4. Step 4: Simplify right side
    500,857x = 1,161,315,513,092.25
  5. Step 5: Solve for x
    x = 1,161,315,513,092.25/500,857
  6. Step 6: Final answer
    x = 2,318,656.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.