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Finding the Third Proportional to 354,672 and 777,168

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Solution

The third proportional to 354,672 and 777,168 is: 1,702,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,672 : 777,168 = 777,168 : x
  2. Step 2: Convert to fraction form
    354,672/777,168 = 777,168/x
  3. Step 3: Cross multiply
    354,672x = 777,168 × 777,168
  4. Step 4: Simplify right side
    354,672x = 603,990,100,224
  5. Step 5: Solve for x
    x = 603,990,100,224/354,672
  6. Step 6: Final answer
    x = 1,702,954.00

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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.