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Finding the Third Proportional to 306,706 and 465,578

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Solution

The third proportional to 306,706 and 465,578 is: 706,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706 : 465,578 = 465,578 : x
  2. Step 2: Convert to fraction form
    306,706/465,578 = 465,578/x
  3. Step 3: Cross multiply
    306,706x = 465,578 × 465,578
  4. Step 4: Simplify right side
    306,706x = 216,762,874,084
  5. Step 5: Solve for x
    x = 216,762,874,084/306,706
  6. Step 6: Final answer
    x = 706,744.81

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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.