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Finding the Third Proportional to 209,664 and 452,799.56

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Solution

The third proportional to 209,664 and 452,799.56 is: 977,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,664 : 452,799.56 = 452,799.56 : x
  2. Step 2: Convert to fraction form
    209,664/452,799.56 = 452,799.56/x
  3. Step 3: Cross multiply
    209,664x = 452,799.56 × 452,799.56
  4. Step 4: Simplify right side
    209,664x = 205,027,443,800.19
  5. Step 5: Solve for x
    x = 205,027,443,800.19/209,664
  6. Step 6: Final answer
    x = 977,885.78

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