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Finding the Third Proportional to 326,548.63 and 707,590.88

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Solution

The third proportional to 326,548.63 and 707,590.88 is: 1,533,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,548.63 : 707,590.88 = 707,590.88 : x
  2. Step 2: Convert to fraction form
    326,548.63/707,590.88 = 707,590.88/x
  3. Step 3: Cross multiply
    326,548.63x = 707,590.88 × 707,590.88
  4. Step 4: Simplify right side
    326,548.63x = 500,684,846,383.27
  5. Step 5: Solve for x
    x = 500,684,846,383.27/326,548.63
  6. Step 6: Final answer
    x = 1,533,262.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.