Finding the Third Proportional to 470,018 and 706,071
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Solution
The third proportional to 470,018 and 706,071 is: 1,060,674.82
Step by Step Solution
- Step 1: Write the proportion equation
470,018 : 706,071 = 706,071 : x - Step 2: Convert to fraction form
470,018/706,071 = 706,071/x - Step 3: Cross multiply
470,018x = 706,071 × 706,071 - Step 4: Simplify right side
470,018x = 498,536,257,041 - Step 5: Solve for x
x = 498,536,257,041/470,018 - Step 6: Final answer
x = 1,060,674.82
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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.