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Finding the Third Proportional to 311,875.31 and 469,567.13

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Solution

The third proportional to 311,875.31 and 469,567.13 is: 706,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,875.31 : 469,567.13 = 469,567.13 : x
  2. Step 2: Convert to fraction form
    311,875.31/469,567.13 = 469,567.13/x
  3. Step 3: Cross multiply
    311,875.31x = 469,567.13 × 469,567.13
  4. Step 4: Simplify right side
    311,875.31x = 220,493,284,880.77
  5. Step 5: Solve for x
    x = 220,493,284,880.77/311,875.31
  6. Step 6: Final answer
    x = 706,991.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.