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Finding the Third Proportional to 449,130 and 714,267

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Solution

The third proportional to 449,130 and 714,267 is: 1,135,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,130 : 714,267 = 714,267 : x
  2. Step 2: Convert to fraction form
    449,130/714,267 = 714,267/x
  3. Step 3: Cross multiply
    449,130x = 714,267 × 714,267
  4. Step 4: Simplify right side
    449,130x = 510,177,347,289
  5. Step 5: Solve for x
    x = 510,177,347,289/449,130
  6. Step 6: Final answer
    x = 1,135,923.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.