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Finding the Third Proportional to 455,538.38 and 707,182.31

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Solution

The third proportional to 455,538.38 and 707,182.31 is: 1,097,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,538.38 : 707,182.31 = 707,182.31 : x
  2. Step 2: Convert to fraction form
    455,538.38/707,182.31 = 707,182.31/x
  3. Step 3: Cross multiply
    455,538.38x = 707,182.31 × 707,182.31
  4. Step 4: Simplify right side
    455,538.38x = 500,106,823,112.85
  5. Step 5: Solve for x
    x = 500,106,823,112.85/455,538.38
  6. Step 6: Final answer
    x = 1,097,836.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.