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Finding the Third Proportional to 418,554 and 626,196

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Solution

The third proportional to 418,554 and 626,196 is: 936,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,554 : 626,196 = 626,196 : x
  2. Step 2: Convert to fraction form
    418,554/626,196 = 626,196/x
  3. Step 3: Cross multiply
    418,554x = 626,196 × 626,196
  4. Step 4: Simplify right side
    418,554x = 392,121,430,416
  5. Step 5: Solve for x
    x = 392,121,430,416/418,554
  6. Step 6: Final answer
    x = 936,847.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.