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Finding the Third Proportional to 351,396 and 766,396

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Solution

The third proportional to 351,396 and 766,396 is: 1,671,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,396 : 766,396 = 766,396 : x
  2. Step 2: Convert to fraction form
    351,396/766,396 = 766,396/x
  3. Step 3: Cross multiply
    351,396x = 766,396 × 766,396
  4. Step 4: Simplify right side
    351,396x = 587,362,828,816
  5. Step 5: Solve for x
    x = 587,362,828,816/351,396
  6. Step 6: Final answer
    x = 1,671,512.56

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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.