Finding the Third Proportional to 224,846 and 520,547
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Solution
The third proportional to 224,846 and 520,547 is: 1,205,132.31
Step by Step Solution
- Step 1: Write the proportion equation
224,846 : 520,547 = 520,547 : x - Step 2: Convert to fraction form
224,846/520,547 = 520,547/x - Step 3: Cross multiply
224,846x = 520,547 × 520,547 - Step 4: Simplify right side
224,846x = 270,969,179,209 - Step 5: Solve for x
x = 270,969,179,209/224,846 - Step 6: Final answer
x = 1,205,132.31
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.