Finding the Third Proportional to 229,233 and 497,877
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Solution
The third proportional to 229,233 and 497,877 is: 1,081,351.76
Step by Step Solution
- Step 1: Write the proportion equation
229,233 : 497,877 = 497,877 : x - Step 2: Convert to fraction form
229,233/497,877 = 497,877/x - Step 3: Cross multiply
229,233x = 497,877 × 497,877 - Step 4: Simplify right side
229,233x = 247,881,507,129 - Step 5: Solve for x
x = 247,881,507,129/229,233 - Step 6: Final answer
x = 1,081,351.76
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.