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Finding the Third Proportional to 513,722.25 and 805,848.75

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Solution

The third proportional to 513,722.25 and 805,848.75 is: 1,264,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,722.25 : 805,848.75 = 805,848.75 : x
  2. Step 2: Convert to fraction form
    513,722.25/805,848.75 = 805,848.75/x
  3. Step 3: Cross multiply
    513,722.25x = 805,848.75 × 805,848.75
  4. Step 4: Simplify right side
    513,722.25x = 649,392,207,876.56
  5. Step 5: Solve for x
    x = 649,392,207,876.56/513,722.25
  6. Step 6: Final answer
    x = 1,264,092.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.