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Finding the Third Proportional to 213,253 and 452,746

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Solution

The third proportional to 213,253 and 452,746 is: 961,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,253 : 452,746 = 452,746 : x
  2. Step 2: Convert to fraction form
    213,253/452,746 = 452,746/x
  3. Step 3: Cross multiply
    213,253x = 452,746 × 452,746
  4. Step 4: Simplify right side
    213,253x = 204,978,940,516
  5. Step 5: Solve for x
    x = 204,978,940,516/213,253
  6. Step 6: Final answer
    x = 961,200.74

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