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Finding the Third Proportional to 362,799 and 787,711.50

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Solution

The third proportional to 362,799 and 787,711.50 is: 1,710,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,799 : 787,711.50 = 787,711.50 : x
  2. Step 2: Convert to fraction form
    362,799/787,711.50 = 787,711.50/x
  3. Step 3: Cross multiply
    362,799x = 787,711.50 × 787,711.50
  4. Step 4: Simplify right side
    362,799x = 620,489,407,232.25
  5. Step 5: Solve for x
    x = 620,489,407,232.25/362,799
  6. Step 6: Final answer
    x = 1,710,284.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.