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Finding the Third Proportional to 383,886 and 602,148.94

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Solution

The third proportional to 383,886 and 602,148.94 is: 944,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,886 : 602,148.94 = 602,148.94 : x
  2. Step 2: Convert to fraction form
    383,886/602,148.94 = 602,148.94/x
  3. Step 3: Cross multiply
    383,886x = 602,148.94 × 602,148.94
  4. Step 4: Simplify right side
    383,886x = 362,583,342,932.38
  5. Step 5: Solve for x
    x = 362,583,342,932.38/383,886
  6. Step 6: Final answer
    x = 944,507.86

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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.