Finding the Third Proportional to 492,820 and 704,742
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Solution
The third proportional to 492,820 and 704,742 is: 1,007,794.50
Step by Step Solution
- Step 1: Write the proportion equation
492,820 : 704,742 = 704,742 : x - Step 2: Convert to fraction form
492,820/704,742 = 704,742/x - Step 3: Cross multiply
492,820x = 704,742 × 704,742 - Step 4: Simplify right side
492,820x = 496,661,286,564 - Step 5: Solve for x
x = 496,661,286,564/492,820 - Step 6: Final answer
x = 1,007,794.50
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.