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Finding the Third Proportional to 255,848 and 408,732

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Solution

The third proportional to 255,848 and 408,732 is: 652,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,848 : 408,732 = 408,732 : x
  2. Step 2: Convert to fraction form
    255,848/408,732 = 408,732/x
  3. Step 3: Cross multiply
    255,848x = 408,732 × 408,732
  4. Step 4: Simplify right side
    255,848x = 167,061,847,824
  5. Step 5: Solve for x
    x = 167,061,847,824/255,848
  6. Step 6: Final answer
    x = 652,973.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.