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Finding the Third Proportional to 391,216.50 and 830,409.75

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Solution

The third proportional to 391,216.50 and 830,409.75 is: 1,762,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,216.50 : 830,409.75 = 830,409.75 : x
  2. Step 2: Convert to fraction form
    391,216.50/830,409.75 = 830,409.75/x
  3. Step 3: Cross multiply
    391,216.50x = 830,409.75 × 830,409.75
  4. Step 4: Simplify right side
    391,216.50x = 689,580,352,895.06
  5. Step 5: Solve for x
    x = 689,580,352,895.06/391,216.50
  6. Step 6: Final answer
    x = 1,762,656.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.