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Finding the Third Proportional to 484,698.94 and 740,170.41

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Solution

The third proportional to 484,698.94 and 740,170.41 is: 1,130,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,698.94 : 740,170.41 = 740,170.41 : x
  2. Step 2: Convert to fraction form
    484,698.94/740,170.41 = 740,170.41/x
  3. Step 3: Cross multiply
    484,698.94x = 740,170.41 × 740,170.41
  4. Step 4: Simplify right side
    484,698.94x = 547,852,230,288.29
  5. Step 5: Solve for x
    x = 547,852,230,288.29/484,698.94
  6. Step 6: Final answer
    x = 1,130,293.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.