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Finding the Third Proportional to 609,075 and 851,498.50

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Solution

The third proportional to 609,075 and 851,498.50 is: 1,190,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,075 : 851,498.50 = 851,498.50 : x
  2. Step 2: Convert to fraction form
    609,075/851,498.50 = 851,498.50/x
  3. Step 3: Cross multiply
    609,075x = 851,498.50 × 851,498.50
  4. Step 4: Simplify right side
    609,075x = 725,049,695,502.25
  5. Step 5: Solve for x
    x = 725,049,695,502.25/609,075
  6. Step 6: Final answer
    x = 1,190,411.19

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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.