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Finding the Third Proportional to 513 and 785.63

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Solution

The third proportional to 513 and 785.63 is: 1,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 785.63 = 785.63 : x
  2. Step 2: Convert to fraction form
    513/785.63 = 785.63/x
  3. Step 3: Cross multiply
    513x = 785.63 × 785.63
  4. Step 4: Simplify right side
    513x = 617,206.64
  5. Step 5: Solve for x
    x = 617,206.64/513
  6. Step 6: Final answer
    x = 1,203.13

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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.