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Finding the Third Proportional to 328,250 and 706,717

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Solution

The third proportional to 328,250 and 706,717 is: 1,521,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,250 : 706,717 = 706,717 : x
  2. Step 2: Convert to fraction form
    328,250/706,717 = 706,717/x
  3. Step 3: Cross multiply
    328,250x = 706,717 × 706,717
  4. Step 4: Simplify right side
    328,250x = 499,448,918,089
  5. Step 5: Solve for x
    x = 499,448,918,089/328,250
  6. Step 6: Final answer
    x = 1,521,550.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.