Finding the Third Proportional to 321,226,332.19 and 433,409,745.09
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Solution
The third proportional to 321,226,332.19 and 433,409,745.09 is: 584,771,509.43
Step by Step Solution
- Step 1: Write the proportion equation
321,226,332.19 : 433,409,745.09 = 433,409,745.09 : x - Step 2: Convert to fraction form
321,226,332.19/433,409,745.09 = 433,409,745.09/x - Step 3: Cross multiply
321,226,332.19x = 433,409,745.09 × 433,409,745.09 - Step 4: Simplify right side
321,226,332.19x = 187,844,007,142,229,344 - Step 5: Solve for x
x = 187,844,007,142,229,344/321,226,332.19 - Step 6: Final answer
x = 584,771,509.43
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.