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Finding the Third Proportional to 431,451 and 675,344

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Solution

The third proportional to 431,451 and 675,344 is: 1,057,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,451 : 675,344 = 675,344 : x
  2. Step 2: Convert to fraction form
    431,451/675,344 = 675,344/x
  3. Step 3: Cross multiply
    431,451x = 675,344 × 675,344
  4. Step 4: Simplify right side
    431,451x = 456,089,518,336
  5. Step 5: Solve for x
    x = 456,089,518,336/431,451
  6. Step 6: Final answer
    x = 1,057,106.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.