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Finding the Third Proportional to 505.88 and 780.38

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Solution

The third proportional to 505.88 and 780.38 is: 1,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 780.38 = 780.38 : x
  2. Step 2: Convert to fraction form
    505.88/780.38 = 780.38/x
  3. Step 3: Cross multiply
    505.88x = 780.38 × 780.38
  4. Step 4: Simplify right side
    505.88x = 608,985.14
  5. Step 5: Solve for x
    x = 608,985.14/505.88
  6. Step 6: Final answer
    x = 1,203.83

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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.