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Finding the Third Proportional to 306,380 and 648,088

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Solution

The third proportional to 306,380 and 648,088 is: 1,370,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,380 : 648,088 = 648,088 : x
  2. Step 2: Convert to fraction form
    306,380/648,088 = 648,088/x
  3. Step 3: Cross multiply
    306,380x = 648,088 × 648,088
  4. Step 4: Simplify right side
    306,380x = 420,018,055,744
  5. Step 5: Solve for x
    x = 420,018,055,744/306,380
  6. Step 6: Final answer
    x = 1,370,905.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.