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Finding the Third Proportional to 324,955.57 and 701,289.98

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Solution

The third proportional to 324,955.57 and 701,289.98 is: 1,513,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,955.57 : 701,289.98 = 701,289.98 : x
  2. Step 2: Convert to fraction form
    324,955.57/701,289.98 = 701,289.98/x
  3. Step 3: Cross multiply
    324,955.57x = 701,289.98 × 701,289.98
  4. Step 4: Simplify right side
    324,955.57x = 491,807,642,184.69
  5. Step 5: Solve for x
    x = 491,807,642,184.69/324,955.57
  6. Step 6: Final answer
    x = 1,513,461.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.