Finding the Third Proportional to 229,284 and 503,712
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Solution
The third proportional to 229,284 and 503,712 is: 1,106,600.46
Step by Step Solution
- Step 1: Write the proportion equation
229,284 : 503,712 = 503,712 : x - Step 2: Convert to fraction form
229,284/503,712 = 503,712/x - Step 3: Cross multiply
229,284x = 503,712 × 503,712 - Step 4: Simplify right side
229,284x = 253,725,778,944 - Step 5: Solve for x
x = 253,725,778,944/229,284 - Step 6: Final answer
x = 1,106,600.46
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.