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Finding the Third Proportional to 262,612.50 and 405,577.50

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Solution

The third proportional to 262,612.50 and 405,577.50 is: 626,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,612.50 : 405,577.50 = 405,577.50 : x
  2. Step 2: Convert to fraction form
    262,612.50/405,577.50 = 405,577.50/x
  3. Step 3: Cross multiply
    262,612.50x = 405,577.50 × 405,577.50
  4. Step 4: Simplify right side
    262,612.50x = 164,493,108,506.25
  5. Step 5: Solve for x
    x = 164,493,108,506.25/262,612.50
  6. Step 6: Final answer
    x = 626,371.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.