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Finding the Third Proportional to 209,044 and 459,706

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Solution

The third proportional to 209,044 and 459,706 is: 1,010,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044 : 459,706 = 459,706 : x
  2. Step 2: Convert to fraction form
    209,044/459,706 = 459,706/x
  3. Step 3: Cross multiply
    209,044x = 459,706 × 459,706
  4. Step 4: Simplify right side
    209,044x = 211,329,606,436
  5. Step 5: Solve for x
    x = 211,329,606,436/209,044
  6. Step 6: Final answer
    x = 1,010,933.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.