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Finding the Third Proportional to 286,010.63 and 626,969.63

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Solution

The third proportional to 286,010.63 and 626,969.63 is: 1,374,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,010.63 : 626,969.63 = 626,969.63 : x
  2. Step 2: Convert to fraction form
    286,010.63/626,969.63 = 626,969.63/x
  3. Step 3: Cross multiply
    286,010.63x = 626,969.63 × 626,969.63
  4. Step 4: Simplify right side
    286,010.63x = 393,090,910,672.64
  5. Step 5: Solve for x
    x = 393,090,910,672.64/286,010.63
  6. Step 6: Final answer
    x = 1,374,392.68

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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.