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Finding the Third Proportional to 680,226.75 and 983,317.50

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Solution

The third proportional to 680,226.75 and 983,317.50 is: 1,421,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,226.75 : 983,317.50 = 983,317.50 : x
  2. Step 2: Convert to fraction form
    680,226.75/983,317.50 = 983,317.50/x
  3. Step 3: Cross multiply
    680,226.75x = 983,317.50 × 983,317.50
  4. Step 4: Simplify right side
    680,226.75x = 966,913,305,806.25
  5. Step 5: Solve for x
    x = 966,913,305,806.25/680,226.75
  6. Step 6: Final answer
    x = 1,421,457.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.