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Finding the Third Proportional to 253,734.75 and 601,106.63

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Solution

The third proportional to 253,734.75 and 601,106.63 is: 1,424,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,734.75 : 601,106.63 = 601,106.63 : x
  2. Step 2: Convert to fraction form
    253,734.75/601,106.63 = 601,106.63/x
  3. Step 3: Cross multiply
    253,734.75x = 601,106.63 × 601,106.63
  4. Step 4: Simplify right side
    253,734.75x = 361,329,174,618.89
  5. Step 5: Solve for x
    x = 361,329,174,618.89/253,734.75
  6. Step 6: Final answer
    x = 1,424,042.92

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.