Finding the Third Proportional to 460,348 and 706,560
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Solution
The third proportional to 460,348 and 706,560 is: 1,084,455.75
Step by Step Solution
- Step 1: Write the proportion equation
460,348 : 706,560 = 706,560 : x - Step 2: Convert to fraction form
460,348/706,560 = 706,560/x - Step 3: Cross multiply
460,348x = 706,560 × 706,560 - Step 4: Simplify right side
460,348x = 499,227,033,600 - Step 5: Solve for x
x = 499,227,033,600/460,348 - Step 6: Final answer
x = 1,084,455.75
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.