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Finding the Third Proportional to 359,292.25 and 782,372.25

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Solution

The third proportional to 359,292.25 and 782,372.25 is: 1,703,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,292.25 : 782,372.25 = 782,372.25 : x
  2. Step 2: Convert to fraction form
    359,292.25/782,372.25 = 782,372.25/x
  3. Step 3: Cross multiply
    359,292.25x = 782,372.25 × 782,372.25
  4. Step 4: Simplify right side
    359,292.25x = 612,106,337,570.06
  5. Step 5: Solve for x
    x = 612,106,337,570.06/359,292.25
  6. Step 6: Final answer
    x = 1,703,644.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.