Finding the Third Proportional to 470,620 and 707,002
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Solution
The third proportional to 470,620 and 707,002 is: 1,062,113.44
Step by Step Solution
- Step 1: Write the proportion equation
470,620 : 707,002 = 707,002 : x - Step 2: Convert to fraction form
470,620/707,002 = 707,002/x - Step 3: Cross multiply
470,620x = 707,002 × 707,002 - Step 4: Simplify right side
470,620x = 499,851,828,004 - Step 5: Solve for x
x = 499,851,828,004/470,620 - Step 6: Final answer
x = 1,062,113.44
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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.