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Finding the Third Proportional to 368,880.75 and 540,199.13

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Solution

The third proportional to 368,880.75 and 540,199.13 is: 791,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,880.75 : 540,199.13 = 540,199.13 : x
  2. Step 2: Convert to fraction form
    368,880.75/540,199.13 = 540,199.13/x
  3. Step 3: Cross multiply
    368,880.75x = 540,199.13 × 540,199.13
  4. Step 4: Simplify right side
    368,880.75x = 291,815,094,650.77
  5. Step 5: Solve for x
    x = 291,815,094,650.77/368,880.75
  6. Step 6: Final answer
    x = 791,082.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.