Finding the Third Proportional to 219,292 and 480,464
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Solution
The third proportional to 219,292 and 480,464 is: 1,052,686.17
Step by Step Solution
- Step 1: Write the proportion equation
219,292 : 480,464 = 480,464 : x - Step 2: Convert to fraction form
219,292/480,464 = 480,464/x - Step 3: Cross multiply
219,292x = 480,464 × 480,464 - Step 4: Simplify right side
219,292x = 230,845,655,296 - Step 5: Solve for x
x = 230,845,655,296/219,292 - Step 6: Final answer
x = 1,052,686.17
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.