Finding the Third Proportional to 470,036 and 706,098
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Solution
The third proportional to 470,036 and 706,098 is: 1,060,715.32
Step by Step Solution
- Step 1: Write the proportion equation
470,036 : 706,098 = 706,098 : x - Step 2: Convert to fraction form
470,036/706,098 = 706,098/x - Step 3: Cross multiply
470,036x = 706,098 × 706,098 - Step 4: Simplify right side
470,036x = 498,574,385,604 - Step 5: Solve for x
x = 498,574,385,604/470,036 - Step 6: Final answer
x = 1,060,715.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.