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Finding the Third Proportional to 393,768 and 859,716

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Solution

The third proportional to 393,768 and 859,716 is: 1,877,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,768 : 859,716 = 859,716 : x
  2. Step 2: Convert to fraction form
    393,768/859,716 = 859,716/x
  3. Step 3: Cross multiply
    393,768x = 859,716 × 859,716
  4. Step 4: Simplify right side
    393,768x = 739,111,600,656
  5. Step 5: Solve for x
    x = 739,111,600,656/393,768
  6. Step 6: Final answer
    x = 1,877,023.02

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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.