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Finding the Third Proportional to 306,280 and 648,928

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Solution

The third proportional to 306,280 and 648,928 is: 1,374,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,280 : 648,928 = 648,928 : x
  2. Step 2: Convert to fraction form
    306,280/648,928 = 648,928/x
  3. Step 3: Cross multiply
    306,280x = 648,928 × 648,928
  4. Step 4: Simplify right side
    306,280x = 421,107,549,184
  5. Step 5: Solve for x
    x = 421,107,549,184/306,280
  6. Step 6: Final answer
    x = 1,374,910.37

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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.