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Finding the Third Proportional to 830,276.50 and 1,355,766

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Solution

The third proportional to 830,276.50 and 1,355,766 is: 2,213,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,276.50 : 1,355,766 = 1,355,766 : x
  2. Step 2: Convert to fraction form
    830,276.50/1,355,766 = 1,355,766/x
  3. Step 3: Cross multiply
    830,276.50x = 1,355,766 × 1,355,766
  4. Step 4: Simplify right side
    830,276.50x = 1,838,101,446,756
  5. Step 5: Solve for x
    x = 1,838,101,446,756/830,276.50
  6. Step 6: Final answer
    x = 2,213,842.55

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.