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Finding the Third Proportional to 595,718.30 and 911,261.39

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Solution

The third proportional to 595,718.30 and 911,261.39 is: 1,393,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,718.30 : 911,261.39 = 911,261.39 : x
  2. Step 2: Convert to fraction form
    595,718.30/911,261.39 = 911,261.39/x
  3. Step 3: Cross multiply
    595,718.30x = 911,261.39 × 911,261.39
  4. Step 4: Simplify right side
    595,718.30x = 830,397,322,043.81
  5. Step 5: Solve for x
    x = 830,397,322,043.81/595,718.30
  6. Step 6: Final answer
    x = 1,393,942.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.