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Finding the Third Proportional to 592,682.25 and 1,280,130.75

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Solution

The third proportional to 592,682.25 and 1,280,130.75 is: 2,764,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,682.25 : 1,280,130.75 = 1,280,130.75 : x
  2. Step 2: Convert to fraction form
    592,682.25/1,280,130.75 = 1,280,130.75/x
  3. Step 3: Cross multiply
    592,682.25x = 1,280,130.75 × 1,280,130.75
  4. Step 4: Simplify right side
    592,682.25x = 1,638,734,737,095.56
  5. Step 5: Solve for x
    x = 1,638,734,737,095.56/592,682.25
  6. Step 6: Final answer
    x = 2,764,946.54

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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.