Finding the Third Proportional to 320,610 and 498,416
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Solution
The third proportional to 320,610 and 498,416 is: 774,830.82
Step by Step Solution
- Step 1: Write the proportion equation
320,610 : 498,416 = 498,416 : x - Step 2: Convert to fraction form
320,610/498,416 = 498,416/x - Step 3: Cross multiply
320,610x = 498,416 × 498,416 - Step 4: Simplify right side
320,610x = 248,418,509,056 - Step 5: Solve for x
x = 248,418,509,056/320,610 - Step 6: Final answer
x = 774,830.82
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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.