Finding the Third Proportional to 309,762 and 455,570
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Solution
The third proportional to 309,762 and 455,570 is: 670,011.25
Step by Step Solution
- Step 1: Write the proportion equation
309,762 : 455,570 = 455,570 : x - Step 2: Convert to fraction form
309,762/455,570 = 455,570/x - Step 3: Cross multiply
309,762x = 455,570 × 455,570 - Step 4: Simplify right side
309,762x = 207,544,024,900 - Step 5: Solve for x
x = 207,544,024,900/309,762 - Step 6: Final answer
x = 670,011.25
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.