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Finding the Third Proportional to 245,851.88 and 379,694.81

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Solution

The third proportional to 245,851.88 and 379,694.81 is: 586,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,851.88 : 379,694.81 = 379,694.81 : x
  2. Step 2: Convert to fraction form
    245,851.88/379,694.81 = 379,694.81/x
  3. Step 3: Cross multiply
    245,851.88x = 379,694.81 × 379,694.81
  4. Step 4: Simplify right side
    245,851.88x = 144,168,150,639.41
  5. Step 5: Solve for x
    x = 144,168,150,639.41/245,851.88
  6. Step 6: Final answer
    x = 586,402.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.