Finding the Third Proportional to 527,214 and 817,038
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Solution
The third proportional to 527,214 and 817,038 is: 1,266,186.20
Step by Step Solution
- Step 1: Write the proportion equation
527,214 : 817,038 = 817,038 : x - Step 2: Convert to fraction form
527,214/817,038 = 817,038/x - Step 3: Cross multiply
527,214x = 817,038 × 817,038 - Step 4: Simplify right side
527,214x = 667,551,093,444 - Step 5: Solve for x
x = 667,551,093,444/527,214 - Step 6: Final answer
x = 1,266,186.20
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.