Finding the Third Proportional to 322,506 and 706,383
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Solution
The third proportional to 322,506 and 706,383 is: 1,547,186.54
Step by Step Solution
- Step 1: Write the proportion equation
322,506 : 706,383 = 706,383 : x - Step 2: Convert to fraction form
322,506/706,383 = 706,383/x - Step 3: Cross multiply
322,506x = 706,383 × 706,383 - Step 4: Simplify right side
322,506x = 498,976,942,689 - Step 5: Solve for x
x = 498,976,942,689/322,506 - Step 6: Final answer
x = 1,547,186.54
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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.