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Finding the Third Proportional to 610,659 and 843,817.50

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Solution

The third proportional to 610,659 and 843,817.50 is: 1,165,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,659 : 843,817.50 = 843,817.50 : x
  2. Step 2: Convert to fraction form
    610,659/843,817.50 = 843,817.50/x
  3. Step 3: Cross multiply
    610,659x = 843,817.50 × 843,817.50
  4. Step 4: Simplify right side
    610,659x = 712,027,973,306.25
  5. Step 5: Solve for x
    x = 712,027,973,306.25/610,659
  6. Step 6: Final answer
    x = 1,165,999.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.