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Finding the Third Proportional to 311,595.75 and 508,758.75

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Solution

The third proportional to 311,595.75 and 508,758.75 is: 830,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,595.75 : 508,758.75 = 508,758.75 : x
  2. Step 2: Convert to fraction form
    311,595.75/508,758.75 = 508,758.75/x
  3. Step 3: Cross multiply
    311,595.75x = 508,758.75 × 508,758.75
  4. Step 4: Simplify right side
    311,595.75x = 258,835,465,701.56
  5. Step 5: Solve for x
    x = 258,835,465,701.56/311,595.75
  6. Step 6: Final answer
    x = 830,677.14

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.