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Finding the Third Proportional to 335,226.75 and 430,428

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Solution

The third proportional to 335,226.75 and 430,428 is: 552,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,226.75 : 430,428 = 430,428 : x
  2. Step 2: Convert to fraction form
    335,226.75/430,428 = 430,428/x
  3. Step 3: Cross multiply
    335,226.75x = 430,428 × 430,428
  4. Step 4: Simplify right side
    335,226.75x = 185,268,263,184
  5. Step 5: Solve for x
    x = 185,268,263,184/335,226.75
  6. Step 6: Final answer
    x = 552,665.51

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Why These Related Problems?

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