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Finding the Third Proportional to 359,322.50 and 782,393

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Solution

The third proportional to 359,322.50 and 782,393 is: 1,703,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,322.50 : 782,393 = 782,393 : x
  2. Step 2: Convert to fraction form
    359,322.50/782,393 = 782,393/x
  3. Step 3: Cross multiply
    359,322.50x = 782,393 × 782,393
  4. Step 4: Simplify right side
    359,322.50x = 612,138,806,449
  5. Step 5: Solve for x
    x = 612,138,806,449/359,322.50
  6. Step 6: Final answer
    x = 1,703,591.64

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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.