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Finding the Third Proportional to 286,154 and 616,594

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Solution

The third proportional to 286,154 and 616,594 is: 1,328,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,154 : 616,594 = 616,594 : x
  2. Step 2: Convert to fraction form
    286,154/616,594 = 616,594/x
  3. Step 3: Cross multiply
    286,154x = 616,594 × 616,594
  4. Step 4: Simplify right side
    286,154x = 380,188,160,836
  5. Step 5: Solve for x
    x = 380,188,160,836/286,154
  6. Step 6: Final answer
    x = 1,328,613.83

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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.