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Finding the Third Proportional to 214,947 and 455,495.63

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Solution

The third proportional to 214,947 and 455,495.63 is: 965,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,947 : 455,495.63 = 455,495.63 : x
  2. Step 2: Convert to fraction form
    214,947/455,495.63 = 455,495.63/x
  3. Step 3: Cross multiply
    214,947x = 455,495.63 × 455,495.63
  4. Step 4: Simplify right side
    214,947x = 207,476,264,394.14
  5. Step 5: Solve for x
    x = 207,476,264,394.14/214,947
  6. Step 6: Final answer
    x = 965,243.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.