Finding the Third Proportional to 270,597 and 584,097
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Solution
The third proportional to 270,597 and 584,097 is: 1,260,802.25
Step by Step Solution
- Step 1: Write the proportion equation
270,597 : 584,097 = 584,097 : x - Step 2: Convert to fraction form
270,597/584,097 = 584,097/x - Step 3: Cross multiply
270,597x = 584,097 × 584,097 - Step 4: Simplify right side
270,597x = 341,169,305,409 - Step 5: Solve for x
x = 341,169,305,409/270,597 - Step 6: Final answer
x = 1,260,802.25
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.