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Finding the Third Proportional to 358,608 and 780,296

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Solution

The third proportional to 358,608 and 780,296 is: 1,697,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,608 : 780,296 = 780,296 : x
  2. Step 2: Convert to fraction form
    358,608/780,296 = 780,296/x
  3. Step 3: Cross multiply
    358,608x = 780,296 × 780,296
  4. Step 4: Simplify right side
    358,608x = 608,861,847,616
  5. Step 5: Solve for x
    x = 608,861,847,616/358,608
  6. Step 6: Final answer
    x = 1,697,847.92

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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.