Finding the Third Proportional to 210,746 and 497,475
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Solution
The third proportional to 210,746 and 497,475 is: 1,174,311.14
Step by Step Solution
- Step 1: Write the proportion equation
210,746 : 497,475 = 497,475 : x - Step 2: Convert to fraction form
210,746/497,475 = 497,475/x - Step 3: Cross multiply
210,746x = 497,475 × 497,475 - Step 4: Simplify right side
210,746x = 247,481,375,625 - Step 5: Solve for x
x = 247,481,375,625/210,746 - Step 6: Final answer
x = 1,174,311.14
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.