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Finding the Third Proportional to 286,580.25 and 622,913.63

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Solution

The third proportional to 286,580.25 and 622,913.63 is: 1,353,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,580.25 : 622,913.63 = 622,913.63 : x
  2. Step 2: Convert to fraction form
    286,580.25/622,913.63 = 622,913.63/x
  3. Step 3: Cross multiply
    286,580.25x = 622,913.63 × 622,913.63
  4. Step 4: Simplify right side
    286,580.25x = 388,021,384,210.64
  5. Step 5: Solve for x
    x = 388,021,384,210.64/286,580.25
  6. Step 6: Final answer
    x = 1,353,971.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.