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Finding the Third Proportional to 213,415 and 453,114

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Solution

The third proportional to 213,415 and 453,114 is: 962,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,415 : 453,114 = 453,114 : x
  2. Step 2: Convert to fraction form
    213,415/453,114 = 453,114/x
  3. Step 3: Cross multiply
    213,415x = 453,114 × 453,114
  4. Step 4: Simplify right side
    213,415x = 205,312,296,996
  5. Step 5: Solve for x
    x = 205,312,296,996/213,415
  6. Step 6: Final answer
    x = 962,033.11

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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.