Finding the Third Proportional to 224,952 and 491,424
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Solution
The third proportional to 224,952 and 491,424 is: 1,073,551.46
Step by Step Solution
- Step 1: Write the proportion equation
224,952 : 491,424 = 491,424 : x - Step 2: Convert to fraction form
224,952/491,424 = 491,424/x - Step 3: Cross multiply
224,952x = 491,424 × 491,424 - Step 4: Simplify right side
224,952x = 241,497,547,776 - Step 5: Solve for x
x = 241,497,547,776/224,952 - Step 6: Final answer
x = 1,073,551.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.