Finding the Third Proportional to 447,930 and 679,002
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Solution
The third proportional to 447,930 and 679,002 is: 1,029,276.26
Step by Step Solution
- Step 1: Write the proportion equation
447,930 : 679,002 = 679,002 : x - Step 2: Convert to fraction form
447,930/679,002 = 679,002/x - Step 3: Cross multiply
447,930x = 679,002 × 679,002 - Step 4: Simplify right side
447,930x = 461,043,716,004 - Step 5: Solve for x
x = 461,043,716,004/447,930 - Step 6: Final answer
x = 1,029,276.26
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.