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Finding the Third Proportional to 393,865.50 and 859,023

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Solution

The third proportional to 393,865.50 and 859,023 is: 1,873,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,865.50 : 859,023 = 859,023 : x
  2. Step 2: Convert to fraction form
    393,865.50/859,023 = 859,023/x
  3. Step 3: Cross multiply
    393,865.50x = 859,023 × 859,023
  4. Step 4: Simplify right side
    393,865.50x = 737,920,514,529
  5. Step 5: Solve for x
    x = 737,920,514,529/393,865.50
  6. Step 6: Final answer
    x = 1,873,534.28

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