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Finding the Third Proportional to 383,888 and 602,152

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Solution

The third proportional to 383,888 and 602,152 is: 944,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,888 : 602,152 = 602,152 : x
  2. Step 2: Convert to fraction form
    383,888/602,152 = 602,152/x
  3. Step 3: Cross multiply
    383,888x = 602,152 × 602,152
  4. Step 4: Simplify right side
    383,888x = 362,587,031,104
  5. Step 5: Solve for x
    x = 362,587,031,104/383,888
  6. Step 6: Final answer
    x = 944,512.54

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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.