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Finding the Third Proportional to 335,206.13 and 430,386.75

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Solution

The third proportional to 335,206.13 and 430,386.75 is: 552,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,206.13 : 430,386.75 = 430,386.75 : x
  2. Step 2: Convert to fraction form
    335,206.13/430,386.75 = 430,386.75/x
  3. Step 3: Cross multiply
    335,206.13x = 430,386.75 × 430,386.75
  4. Step 4: Simplify right side
    335,206.13x = 185,232,754,575.56
  5. Step 5: Solve for x
    x = 185,232,754,575.56/335,206.13
  6. Step 6: Final answer
    x = 552,593.59

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.