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Finding the Third Proportional to 262,755.19 and 574,581.94

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Solution

The third proportional to 262,755.19 and 574,581.94 is: 1,256,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,755.19 : 574,581.94 = 574,581.94 : x
  2. Step 2: Convert to fraction form
    262,755.19/574,581.94 = 574,581.94/x
  3. Step 3: Cross multiply
    262,755.19x = 574,581.94 × 574,581.94
  4. Step 4: Simplify right side
    262,755.19x = 330,144,402,901.25
  5. Step 5: Solve for x
    x = 330,144,402,901.25/262,755.19
  6. Step 6: Final answer
    x = 1,256,471.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.