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Finding the Third Proportional to 335,577.09 and 724,334.06

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Solution

The third proportional to 335,577.09 and 724,334.06 is: 1,563,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,577.09 : 724,334.06 = 724,334.06 : x
  2. Step 2: Convert to fraction form
    335,577.09/724,334.06 = 724,334.06/x
  3. Step 3: Cross multiply
    335,577.09x = 724,334.06 × 724,334.06
  4. Step 4: Simplify right side
    335,577.09x = 524,659,834,097.75
  5. Step 5: Solve for x
    x = 524,659,834,097.75/335,577.09
  6. Step 6: Final answer
    x = 1,563,455.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.