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Finding the Third Proportional to 294,053.63 and 414,102.38

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Solution

The third proportional to 294,053.63 and 414,102.38 is: 583,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,053.63 : 414,102.38 = 414,102.38 : x
  2. Step 2: Convert to fraction form
    294,053.63/414,102.38 = 414,102.38/x
  3. Step 3: Cross multiply
    294,053.63x = 414,102.38 × 414,102.38
  4. Step 4: Simplify right side
    294,053.63x = 171,480,776,980.64
  5. Step 5: Solve for x
    x = 171,480,776,980.64/294,053.63
  6. Step 6: Final answer
    x = 583,161.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.