Finding the Third Proportional to 286,902 and 612,846
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Solution
The third proportional to 286,902 and 612,846 is: 1,309,088.89
Step by Step Solution
- Step 1: Write the proportion equation
286,902 : 612,846 = 612,846 : x - Step 2: Convert to fraction form
286,902/612,846 = 612,846/x - Step 3: Cross multiply
286,902x = 612,846 × 612,846 - Step 4: Simplify right side
286,902x = 375,580,219,716 - Step 5: Solve for x
x = 375,580,219,716/286,902 - Step 6: Final answer
x = 1,309,088.89
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.