Finding the Third Proportional to 299,252 and 459,942
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Solution
The third proportional to 299,252 and 459,942 is: 706,918.06
Step by Step Solution
- Step 1: Write the proportion equation
299,252 : 459,942 = 459,942 : x - Step 2: Convert to fraction form
299,252/459,942 = 459,942/x - Step 3: Cross multiply
299,252x = 459,942 × 459,942 - Step 4: Simplify right side
299,252x = 211,546,643,364 - Step 5: Solve for x
x = 211,546,643,364/299,252 - Step 6: Final answer
x = 706,918.06
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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.