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Finding the Third Proportional to 682,574.63 and 918,884.25

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Solution

The third proportional to 682,574.63 and 918,884.25 is: 1,237,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,574.63 : 918,884.25 = 918,884.25 : x
  2. Step 2: Convert to fraction form
    682,574.63/918,884.25 = 918,884.25/x
  3. Step 3: Cross multiply
    682,574.63x = 918,884.25 × 918,884.25
  4. Step 4: Simplify right side
    682,574.63x = 844,348,264,898.06
  5. Step 5: Solve for x
    x = 844,348,264,898.06/682,574.63
  6. Step 6: Final answer
    x = 1,237,005.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.