Finding the Third Proportional to 220,730 and 491,424
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Solution
The third proportional to 220,730 and 491,424 is: 1,094,085.75
Step by Step Solution
- Step 1: Write the proportion equation
220,730 : 491,424 = 491,424 : x - Step 2: Convert to fraction form
220,730/491,424 = 491,424/x - Step 3: Cross multiply
220,730x = 491,424 × 491,424 - Step 4: Simplify right side
220,730x = 241,497,547,776 - Step 5: Solve for x
x = 241,497,547,776/220,730 - Step 6: Final answer
x = 1,094,085.75
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.