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Finding the Third Proportional to 383,889 and 602,154

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Solution

The third proportional to 383,889 and 602,154 is: 944,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,889 : 602,154 = 602,154 : x
  2. Step 2: Convert to fraction form
    383,889/602,154 = 602,154/x
  3. Step 3: Cross multiply
    383,889x = 602,154 × 602,154
  4. Step 4: Simplify right side
    383,889x = 362,589,439,716
  5. Step 5: Solve for x
    x = 362,589,439,716/383,889
  6. Step 6: Final answer
    x = 944,516.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.