Finding the Third Proportional to 492,777 and 712,098
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Solution
The third proportional to 492,777 and 712,098 is: 1,029,032.53
Step by Step Solution
- Step 1: Write the proportion equation
492,777 : 712,098 = 712,098 : x - Step 2: Convert to fraction form
492,777/712,098 = 712,098/x - Step 3: Cross multiply
492,777x = 712,098 × 712,098 - Step 4: Simplify right side
492,777x = 507,083,561,604 - Step 5: Solve for x
x = 507,083,561,604/492,777 - Step 6: Final answer
x = 1,029,032.53
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.