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Finding the Third Proportional to 213,316 and 460,837

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Solution

The third proportional to 213,316 and 460,837 is: 995,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,316 : 460,837 = 460,837 : x
  2. Step 2: Convert to fraction form
    213,316/460,837 = 460,837/x
  3. Step 3: Cross multiply
    213,316x = 460,837 × 460,837
  4. Step 4: Simplify right side
    213,316x = 212,370,740,569
  5. Step 5: Solve for x
    x = 212,370,740,569/213,316
  6. Step 6: Final answer
    x = 995,568.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.