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Finding the Third Proportional to 357,754 and 484,143

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Solution

The third proportional to 357,754 and 484,143 is: 655,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,754 : 484,143 = 484,143 : x
  2. Step 2: Convert to fraction form
    357,754/484,143 = 484,143/x
  3. Step 3: Cross multiply
    357,754x = 484,143 × 484,143
  4. Step 4: Simplify right side
    357,754x = 234,394,444,449
  5. Step 5: Solve for x
    x = 234,394,444,449/357,754
  6. Step 6: Final answer
    x = 655,183.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.