Finding the Third Proportional to 402,436 and 564,006
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Solution
The third proportional to 402,436 and 564,006 is: 790,443.12
Step by Step Solution
- Step 1: Write the proportion equation
402,436 : 564,006 = 564,006 : x - Step 2: Convert to fraction form
402,436/564,006 = 564,006/x - Step 3: Cross multiply
402,436x = 564,006 × 564,006 - Step 4: Simplify right side
402,436x = 318,102,768,036 - Step 5: Solve for x
x = 318,102,768,036/402,436 - Step 6: Final answer
x = 790,443.12
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.