Finding the Third Proportional to 223,438 and 478,862
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Solution
The third proportional to 223,438 and 478,862 is: 1,026,274.92
Step by Step Solution
- Step 1: Write the proportion equation
223,438 : 478,862 = 478,862 : x - Step 2: Convert to fraction form
223,438/478,862 = 478,862/x - Step 3: Cross multiply
223,438x = 478,862 × 478,862 - Step 4: Simplify right side
223,438x = 229,308,815,044 - Step 5: Solve for x
x = 229,308,815,044/223,438 - Step 6: Final answer
x = 1,026,274.92
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.