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Finding the Third Proportional to 211,582.13 and 452,688.75

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Solution

The third proportional to 211,582.13 and 452,688.75 is: 968,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,582.13 : 452,688.75 = 452,688.75 : x
  2. Step 2: Convert to fraction form
    211,582.13/452,688.75 = 452,688.75/x
  3. Step 3: Cross multiply
    211,582.13x = 452,688.75 × 452,688.75
  4. Step 4: Simplify right side
    211,582.13x = 204,927,104,376.56
  5. Step 5: Solve for x
    x = 204,927,104,376.56/211,582.13
  6. Step 6: Final answer
    x = 968,546.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.