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Finding the Third Proportional to 358,668 and 786,996

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Solution

The third proportional to 358,668 and 786,996 is: 1,726,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,668 : 786,996 = 786,996 : x
  2. Step 2: Convert to fraction form
    358,668/786,996 = 786,996/x
  3. Step 3: Cross multiply
    358,668x = 786,996 × 786,996
  4. Step 4: Simplify right side
    358,668x = 619,362,704,016
  5. Step 5: Solve for x
    x = 619,362,704,016/358,668
  6. Step 6: Final answer
    x = 1,726,841.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.