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Finding the Third Proportional to 333,295.78 and 738,658.78

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Solution

The third proportional to 333,295.78 and 738,658.78 is: 1,637,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,295.78 : 738,658.78 = 738,658.78 : x
  2. Step 2: Convert to fraction form
    333,295.78/738,658.78 = 738,658.78/x
  3. Step 3: Cross multiply
    333,295.78x = 738,658.78 × 738,658.78
  4. Step 4: Simplify right side
    333,295.78x = 545,616,795,117.74
  5. Step 5: Solve for x
    x = 545,616,795,117.74/333,295.78
  6. Step 6: Final answer
    x = 1,637,034.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.