Finding the Third Proportional to 286,690,231 and 442,709,274
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Solution
The third proportional to 286,690,231 and 442,709,274 is: 683,635,087.96
Step by Step Solution
- Step 1: Write the proportion equation
286,690,231 : 442,709,274 = 442,709,274 : x - Step 2: Convert to fraction form
286,690,231/442,709,274 = 442,709,274/x - Step 3: Cross multiply
286,690,231x = 442,709,274 × 442,709,274 - Step 4: Simplify right side
286,690,231x = 195,991,501,285,607,072 - Step 5: Solve for x
x = 195,991,501,285,607,072/286,690,231 - Step 6: Final answer
x = 683,635,087.96
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.