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Finding the Third Proportional to 305,859.75 and 465,270

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Solution

The third proportional to 305,859.75 and 465,270 is: 707,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859.75 : 465,270 = 465,270 : x
  2. Step 2: Convert to fraction form
    305,859.75/465,270 = 465,270/x
  3. Step 3: Cross multiply
    305,859.75x = 465,270 × 465,270
  4. Step 4: Simplify right side
    305,859.75x = 216,476,172,900
  5. Step 5: Solve for x
    x = 216,476,172,900/305,859.75
  6. Step 6: Final answer
    x = 707,762.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.