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Finding the Third Proportional to 306,701.50 and 465,571

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Solution

The third proportional to 306,701.50 and 465,571 is: 706,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701.50 : 465,571 = 465,571 : x
  2. Step 2: Convert to fraction form
    306,701.50/465,571 = 465,571/x
  3. Step 3: Cross multiply
    306,701.50x = 465,571 × 465,571
  4. Step 4: Simplify right side
    306,701.50x = 216,756,356,041
  5. Step 5: Solve for x
    x = 216,756,356,041/306,701.50
  6. Step 6: Final answer
    x = 706,733.93

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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.