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Finding the Third Proportional to 358,055 and 788,098

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Solution

The third proportional to 358,055 and 788,098 is: 1,734,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,055 : 788,098 = 788,098 : x
  2. Step 2: Convert to fraction form
    358,055/788,098 = 788,098/x
  3. Step 3: Cross multiply
    358,055x = 788,098 × 788,098
  4. Step 4: Simplify right side
    358,055x = 621,098,457,604
  5. Step 5: Solve for x
    x = 621,098,457,604/358,055
  6. Step 6: Final answer
    x = 1,734,645.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.