Finding the Third Proportional to 298,926 and 646,698
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Solution
The third proportional to 298,926 and 646,698 is: 1,399,069.68
Step by Step Solution
- Step 1: Write the proportion equation
298,926 : 646,698 = 646,698 : x - Step 2: Convert to fraction form
298,926/646,698 = 646,698/x - Step 3: Cross multiply
298,926x = 646,698 × 646,698 - Step 4: Simplify right side
298,926x = 418,218,303,204 - Step 5: Solve for x
x = 418,218,303,204/298,926 - Step 6: Final answer
x = 1,399,069.68
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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.