Finding the Third Proportional to 470,747 and 966,300
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Solution
The third proportional to 470,747 and 966,300 is: 1,983,519.15
Step by Step Solution
- Step 1: Write the proportion equation
470,747 : 966,300 = 966,300 : x - Step 2: Convert to fraction form
470,747/966,300 = 966,300/x - Step 3: Cross multiply
470,747x = 966,300 × 966,300 - Step 4: Simplify right side
470,747x = 933,735,690,000 - Step 5: Solve for x
x = 933,735,690,000/470,747 - Step 6: Final answer
x = 1,983,519.15
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.