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Finding the Third Proportional to 431,388 and 574,705

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Solution

The third proportional to 431,388 and 574,705 is: 765,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,388 : 574,705 = 574,705 : x
  2. Step 2: Convert to fraction form
    431,388/574,705 = 574,705/x
  3. Step 3: Cross multiply
    431,388x = 574,705 × 574,705
  4. Step 4: Simplify right side
    431,388x = 330,285,837,025
  5. Step 5: Solve for x
    x = 330,285,837,025/431,388
  6. Step 6: Final answer
    x = 765,635.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.