Finding the Third Proportional to 523,476 and 830,250
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Solution
The third proportional to 523,476 and 830,250 is: 1,316,803.56
Step by Step Solution
- Step 1: Write the proportion equation
523,476 : 830,250 = 830,250 : x - Step 2: Convert to fraction form
523,476/830,250 = 830,250/x - Step 3: Cross multiply
523,476x = 830,250 × 830,250 - Step 4: Simplify right side
523,476x = 689,315,062,500 - Step 5: Solve for x
x = 689,315,062,500/523,476 - Step 6: Final answer
x = 1,316,803.56
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.