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Finding the Third Proportional to 309,780.50 and 677,881

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Solution

The third proportional to 309,780.50 and 677,881 is: 1,483,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,780.50 : 677,881 = 677,881 : x
  2. Step 2: Convert to fraction form
    309,780.50/677,881 = 677,881/x
  3. Step 3: Cross multiply
    309,780.50x = 677,881 × 677,881
  4. Step 4: Simplify right side
    309,780.50x = 459,522,650,161
  5. Step 5: Solve for x
    x = 459,522,650,161/309,780.50
  6. Step 6: Final answer
    x = 1,483,381.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.