Finding the Third Proportional to 430,536 and 663,972
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Solution
The third proportional to 430,536 and 663,972 is: 1,023,976.66
Step by Step Solution
- Step 1: Write the proportion equation
430,536 : 663,972 = 663,972 : x - Step 2: Convert to fraction form
430,536/663,972 = 663,972/x - Step 3: Cross multiply
430,536x = 663,972 × 663,972 - Step 4: Simplify right side
430,536x = 440,858,816,784 - Step 5: Solve for x
x = 440,858,816,784/430,536 - Step 6: Final answer
x = 1,023,976.66
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.