Finding the Third Proportional to 297,924 and 645,876
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Solution
The third proportional to 297,924 and 645,876 is: 1,400,208.80
Step by Step Solution
- Step 1: Write the proportion equation
297,924 : 645,876 = 645,876 : x - Step 2: Convert to fraction form
297,924/645,876 = 645,876/x - Step 3: Cross multiply
297,924x = 645,876 × 645,876 - Step 4: Simplify right side
297,924x = 417,155,807,376 - Step 5: Solve for x
x = 417,155,807,376/297,924 - Step 6: Final answer
x = 1,400,208.80
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.