Finding the Third Proportional to 320,534 and 498,299
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Solution
The third proportional to 320,534 and 498,299 is: 774,650.72
Step by Step Solution
- Step 1: Write the proportion equation
320,534 : 498,299 = 498,299 : x - Step 2: Convert to fraction form
320,534/498,299 = 498,299/x - Step 3: Cross multiply
320,534x = 498,299 × 498,299 - Step 4: Simplify right side
320,534x = 248,301,893,401 - Step 5: Solve for x
x = 248,301,893,401/320,534 - Step 6: Final answer
x = 774,650.72
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.