Finding the Third Proportional to 506,500 and 1,070,216
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Solution
The third proportional to 506,500 and 1,070,216 is: 2,261,327.32
Step by Step Solution
- Step 1: Write the proportion equation
506,500 : 1,070,216 = 1,070,216 : x - Step 2: Convert to fraction form
506,500/1,070,216 = 1,070,216/x - Step 3: Cross multiply
506,500x = 1,070,216 × 1,070,216 - Step 4: Simplify right side
506,500x = 1,145,362,286,656 - Step 5: Solve for x
x = 1,145,362,286,656/506,500 - Step 6: Final answer
x = 2,261,327.32
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.