Finding the Third Proportional to 442,820 and 704,960
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Solution
The third proportional to 442,820 and 704,960 is: 1,122,281.29
Step by Step Solution
- Step 1: Write the proportion equation
442,820 : 704,960 = 704,960 : x - Step 2: Convert to fraction form
442,820/704,960 = 704,960/x - Step 3: Cross multiply
442,820x = 704,960 × 704,960 - Step 4: Simplify right side
442,820x = 496,968,601,600 - Step 5: Solve for x
x = 496,968,601,600/442,820 - Step 6: Final answer
x = 1,122,281.29
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.