Finding the Third Proportional to 283,628 and 598,239
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Solution
The third proportional to 283,628 and 598,239 is: 1,261,828.53
Step by Step Solution
- Step 1: Write the proportion equation
283,628 : 598,239 = 598,239 : x - Step 2: Convert to fraction form
283,628/598,239 = 598,239/x - Step 3: Cross multiply
283,628x = 598,239 × 598,239 - Step 4: Simplify right side
283,628x = 357,889,901,121 - Step 5: Solve for x
x = 357,889,901,121/283,628 - Step 6: Final answer
x = 1,261,828.53
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.