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Finding the Third Proportional to 323,282.25 and 706,756.50

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Solution

The third proportional to 323,282.25 and 706,756.50 is: 1,545,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,282.25 : 706,756.50 = 706,756.50 : x
  2. Step 2: Convert to fraction form
    323,282.25/706,756.50 = 706,756.50/x
  3. Step 3: Cross multiply
    323,282.25x = 706,756.50 × 706,756.50
  4. Step 4: Simplify right side
    323,282.25x = 499,504,750,292.25
  5. Step 5: Solve for x
    x = 499,504,750,292.25/323,282.25
  6. Step 6: Final answer
    x = 1,545,104.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.