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Finding the Third Proportional to 785.95 and 1,845.28

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Solution

The third proportional to 785.95 and 1,845.28 is: 4,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,845.28 = 1,845.28 : x
  2. Step 2: Convert to fraction form
    785.95/1,845.28 = 1,845.28/x
  3. Step 3: Cross multiply
    785.95x = 1,845.28 × 1,845.28
  4. Step 4: Simplify right side
    785.95x = 3,405,062.89
  5. Step 5: Solve for x
    x = 3,405,062.89/785.95
  6. Step 6: Final answer
    x = 4,332.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.