Finding the Third Proportional to 242,820 and 497,662
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Solution
The third proportional to 242,820 and 497,662 is: 1,019,963.21
Step by Step Solution
- Step 1: Write the proportion equation
242,820 : 497,662 = 497,662 : x - Step 2: Convert to fraction form
242,820/497,662 = 497,662/x - Step 3: Cross multiply
242,820x = 497,662 × 497,662 - Step 4: Simplify right side
242,820x = 247,667,466,244 - Step 5: Solve for x
x = 247,667,466,244/242,820 - Step 6: Final answer
x = 1,019,963.21
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.