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Finding the Third Proportional to 565,077 and 791,959.50

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Solution

The third proportional to 565,077 and 791,959.50 is: 1,109,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,077 : 791,959.50 = 791,959.50 : x
  2. Step 2: Convert to fraction form
    565,077/791,959.50 = 791,959.50/x
  3. Step 3: Cross multiply
    565,077x = 791,959.50 × 791,959.50
  4. Step 4: Simplify right side
    565,077x = 627,199,849,640.25
  5. Step 5: Solve for x
    x = 627,199,849,640.25/565,077
  6. Step 6: Final answer
    x = 1,109,936.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.