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Finding the Third Proportional to 262,612.13 and 411,528.09

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Solution

The third proportional to 262,612.13 and 411,528.09 is: 644,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,612.13 : 411,528.09 = 411,528.09 : x
  2. Step 2: Convert to fraction form
    262,612.13/411,528.09 = 411,528.09/x
  3. Step 3: Cross multiply
    262,612.13x = 411,528.09 × 411,528.09
  4. Step 4: Simplify right side
    262,612.13x = 169,355,371,945.51
  5. Step 5: Solve for x
    x = 169,355,371,945.51/262,612.13
  6. Step 6: Final answer
    x = 644,887.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.