Finding the Third Proportional to 342,368 and 763,416
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Solution
The third proportional to 342,368 and 763,416 is: 1,702,273.55
Step by Step Solution
- Step 1: Write the proportion equation
342,368 : 763,416 = 763,416 : x - Step 2: Convert to fraction form
342,368/763,416 = 763,416/x - Step 3: Cross multiply
342,368x = 763,416 × 763,416 - Step 4: Simplify right side
342,368x = 582,803,989,056 - Step 5: Solve for x
x = 582,803,989,056/342,368 - Step 6: Final answer
x = 1,702,273.55
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.