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Finding the Third Proportional to 366,073 and 788,341

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Solution

The third proportional to 366,073 and 788,341 is: 1,697,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,073 : 788,341 = 788,341 : x
  2. Step 2: Convert to fraction form
    366,073/788,341 = 788,341/x
  3. Step 3: Cross multiply
    366,073x = 788,341 × 788,341
  4. Step 4: Simplify right side
    366,073x = 621,481,532,281
  5. Step 5: Solve for x
    x = 621,481,532,281/366,073
  6. Step 6: Final answer
    x = 1,697,698.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.