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Finding the Third Proportional to 554,580 and 856,325.25

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Solution

The third proportional to 554,580 and 856,325.25 is: 1,322,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,580 : 856,325.25 = 856,325.25 : x
  2. Step 2: Convert to fraction form
    554,580/856,325.25 = 856,325.25/x
  3. Step 3: Cross multiply
    554,580x = 856,325.25 × 856,325.25
  4. Step 4: Simplify right side
    554,580x = 733,292,933,787.56
  5. Step 5: Solve for x
    x = 733,292,933,787.56/554,580
  6. Step 6: Final answer
    x = 1,322,249.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.