Finding the Third Proportional to 282,574 and 613,748
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Solution
The third proportional to 282,574 and 613,748 is: 1,333,054.73
Step by Step Solution
- Step 1: Write the proportion equation
282,574 : 613,748 = 613,748 : x - Step 2: Convert to fraction form
282,574/613,748 = 613,748/x - Step 3: Cross multiply
282,574x = 613,748 × 613,748 - Step 4: Simplify right side
282,574x = 376,686,607,504 - Step 5: Solve for x
x = 376,686,607,504/282,574 - Step 6: Final answer
x = 1,333,054.73
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.