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Finding the Third Proportional to 484,706 and 740,181

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Solution

The third proportional to 484,706 and 740,181 is: 1,130,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,706 : 740,181 = 740,181 : x
  2. Step 2: Convert to fraction form
    484,706/740,181 = 740,181/x
  3. Step 3: Cross multiply
    484,706x = 740,181 × 740,181
  4. Step 4: Simplify right side
    484,706x = 547,867,912,761
  5. Step 5: Solve for x
    x = 547,867,912,761/484,706
  6. Step 6: Final answer
    x = 1,130,309.74

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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.