Finding the Third Proportional to 242,358 and 496,468
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Solution
The third proportional to 242,358 and 496,468 is: 1,017,009.86
Step by Step Solution
- Step 1: Write the proportion equation
242,358 : 496,468 = 496,468 : x - Step 2: Convert to fraction form
242,358/496,468 = 496,468/x - Step 3: Cross multiply
242,358x = 496,468 × 496,468 - Step 4: Simplify right side
242,358x = 246,480,475,024 - Step 5: Solve for x
x = 246,480,475,024/242,358 - Step 6: Final answer
x = 1,017,009.86
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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.