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Finding the Third Proportional to 286,143 and 616,574

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Solution

The third proportional to 286,143 and 616,574 is: 1,328,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143 : 616,574 = 616,574 : x
  2. Step 2: Convert to fraction form
    286,143/616,574 = 616,574/x
  3. Step 3: Cross multiply
    286,143x = 616,574 × 616,574
  4. Step 4: Simplify right side
    286,143x = 380,163,497,476
  5. Step 5: Solve for x
    x = 380,163,497,476/286,143
  6. Step 6: Final answer
    x = 1,328,578.71

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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.