Finding the Third Proportional to 467,820 and 723,780
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Solution
The third proportional to 467,820 and 723,780 is: 1,119,784.29
Step by Step Solution
- Step 1: Write the proportion equation
467,820 : 723,780 = 723,780 : x - Step 2: Convert to fraction form
467,820/723,780 = 723,780/x - Step 3: Cross multiply
467,820x = 723,780 × 723,780 - Step 4: Simplify right side
467,820x = 523,857,488,400 - Step 5: Solve for x
x = 523,857,488,400/467,820 - Step 6: Final answer
x = 1,119,784.29
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.