Finding the Third Proportional to 223,442 and 478,870
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Solution
The third proportional to 223,442 and 478,870 is: 1,026,290.84
Step by Step Solution
- Step 1: Write the proportion equation
223,442 : 478,870 = 478,870 : x - Step 2: Convert to fraction form
223,442/478,870 = 478,870/x - Step 3: Cross multiply
223,442x = 478,870 × 478,870 - Step 4: Simplify right side
223,442x = 229,316,476,900 - Step 5: Solve for x
x = 229,316,476,900/223,442 - Step 6: Final answer
x = 1,026,290.84
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.