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Finding the Third Proportional to 326,548.25 and 707,590.13

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Solution

The third proportional to 326,548.25 and 707,590.13 is: 1,533,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,548.25 : 707,590.13 = 707,590.13 : x
  2. Step 2: Convert to fraction form
    326,548.25/707,590.13 = 707,590.13/x
  3. Step 3: Cross multiply
    326,548.25x = 707,590.13 × 707,590.13
  4. Step 4: Simplify right side
    326,548.25x = 500,683,784,997.52
  5. Step 5: Solve for x
    x = 500,683,784,997.52/326,548.25
  6. Step 6: Final answer
    x = 1,533,261.27

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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.