Finding the Third Proportional to 258,309 and 566,460
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Solution
The third proportional to 258,309 and 566,460 is: 1,242,221.26
Step by Step Solution
- Step 1: Write the proportion equation
258,309 : 566,460 = 566,460 : x - Step 2: Convert to fraction form
258,309/566,460 = 566,460/x - Step 3: Cross multiply
258,309x = 566,460 × 566,460 - Step 4: Simplify right side
258,309x = 320,876,931,600 - Step 5: Solve for x
x = 320,876,931,600/258,309 - Step 6: Final answer
x = 1,242,221.26
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.