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Finding the Third Proportional to 465,648.75 and 713,851.31

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Solution

The third proportional to 465,648.75 and 713,851.31 is: 1,094,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,648.75 : 713,851.31 = 713,851.31 : x
  2. Step 2: Convert to fraction form
    465,648.75/713,851.31 = 713,851.31/x
  3. Step 3: Cross multiply
    465,648.75x = 713,851.31 × 713,851.31
  4. Step 4: Simplify right side
    465,648.75x = 509,583,696,357.97
  5. Step 5: Solve for x
    x = 509,583,696,357.97/465,648.75
  6. Step 6: Final answer
    x = 1,094,352.12

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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.