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Finding the Third Proportional to 264,409.31 and 385,539.75

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Solution

The third proportional to 264,409.31 and 385,539.75 is: 562,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,409.31 : 385,539.75 = 385,539.75 : x
  2. Step 2: Convert to fraction form
    264,409.31/385,539.75 = 385,539.75/x
  3. Step 3: Cross multiply
    264,409.31x = 385,539.75 × 385,539.75
  4. Step 4: Simplify right side
    264,409.31x = 148,640,898,830.06
  5. Step 5: Solve for x
    x = 148,640,898,830.06/264,409.31
  6. Step 6: Final answer
    x = 562,162.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.