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Finding the Third Proportional to 715,280.88 and 1,002,612.75

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Solution

The third proportional to 715,280.88 and 1,002,612.75 is: 1,405,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,280.88 : 1,002,612.75 = 1,002,612.75 : x
  2. Step 2: Convert to fraction form
    715,280.88/1,002,612.75 = 1,002,612.75/x
  3. Step 3: Cross multiply
    715,280.88x = 1,002,612.75 × 1,002,612.75
  4. Step 4: Simplify right side
    715,280.88x = 1,005,232,326,462.56
  5. Step 5: Solve for x
    x = 1,005,232,326,462.56/715,280.88
  6. Step 6: Final answer
    x = 1,405,367.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.