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Finding the Third Proportional to 346,548.38 and 433,800.56

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Solution

The third proportional to 346,548.38 and 433,800.56 is: 543,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,548.38 : 433,800.56 = 433,800.56 : x
  2. Step 2: Convert to fraction form
    346,548.38/433,800.56 = 433,800.56/x
  3. Step 3: Cross multiply
    346,548.38x = 433,800.56 × 433,800.56
  4. Step 4: Simplify right side
    346,548.38x = 188,182,928,025.32
  5. Step 5: Solve for x
    x = 188,182,928,025.32/346,548.38
  6. Step 6: Final answer
    x = 543,020.66

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.