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Finding the Third Proportional to 286,164 and 616,610

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Solution

The third proportional to 286,164 and 616,610 is: 1,328,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164 : 616,610 = 616,610 : x
  2. Step 2: Convert to fraction form
    286,164/616,610 = 616,610/x
  3. Step 3: Cross multiply
    286,164x = 616,610 × 616,610
  4. Step 4: Simplify right side
    286,164x = 380,207,892,100
  5. Step 5: Solve for x
    x = 380,207,892,100/286,164
  6. Step 6: Final answer
    x = 1,328,636.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.