Finding the Third Proportional to 259,100 and 563,784
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Solution
The third proportional to 259,100 and 563,784 is: 1,226,755.69
Step by Step Solution
- Step 1: Write the proportion equation
259,100 : 563,784 = 563,784 : x - Step 2: Convert to fraction form
259,100/563,784 = 563,784/x - Step 3: Cross multiply
259,100x = 563,784 × 563,784 - Step 4: Simplify right side
259,100x = 317,852,398,656 - Step 5: Solve for x
x = 317,852,398,656/259,100 - Step 6: Final answer
x = 1,226,755.69
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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.