Finding the Third Proportional to 402,294 and 837,658
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Solution
The third proportional to 402,294 and 837,658 is: 1,744,174.47
Step by Step Solution
- Step 1: Write the proportion equation
402,294 : 837,658 = 837,658 : x - Step 2: Convert to fraction form
402,294/837,658 = 837,658/x - Step 3: Cross multiply
402,294x = 837,658 × 837,658 - Step 4: Simplify right side
402,294x = 701,670,924,964 - Step 5: Solve for x
x = 701,670,924,964/402,294 - Step 6: Final answer
x = 1,744,174.47
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.