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Finding the Third Proportional to 355,723.03 and 776,453.63

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Solution

The third proportional to 355,723.03 and 776,453.63 is: 1,694,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,723.03 : 776,453.63 = 776,453.63 : x
  2. Step 2: Convert to fraction form
    355,723.03/776,453.63 = 776,453.63/x
  3. Step 3: Cross multiply
    355,723.03x = 776,453.63 × 776,453.63
  4. Step 4: Simplify right side
    355,723.03x = 602,880,231,775.64
  5. Step 5: Solve for x
    x = 602,880,231,775.64/355,723.03
  6. Step 6: Final answer
    x = 1,694,802.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.