Finding the Third Proportional to 509,042 and 1,005,234.50
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Solution
The third proportional to 509,042 and 1,005,234.50 is: 1,985,094.35
Step by Step Solution
- Step 1: Write the proportion equation
509,042 : 1,005,234.50 = 1,005,234.50 : x - Step 2: Convert to fraction form
509,042/1,005,234.50 = 1,005,234.50/x - Step 3: Cross multiply
509,042x = 1,005,234.50 × 1,005,234.50 - Step 4: Simplify right side
509,042x = 1,010,496,399,990.25 - Step 5: Solve for x
x = 1,010,496,399,990.25/509,042 - Step 6: Final answer
x = 1,985,094.35
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.