Finding the Third Proportional to 460,064 and 698,373
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Solution
The third proportional to 460,064 and 698,373 is: 1,060,123.91
Step by Step Solution
- Step 1: Write the proportion equation
460,064 : 698,373 = 698,373 : x - Step 2: Convert to fraction form
460,064/698,373 = 698,373/x - Step 3: Cross multiply
460,064x = 698,373 × 698,373 - Step 4: Simplify right side
460,064x = 487,724,847,129 - Step 5: Solve for x
x = 487,724,847,129/460,064 - Step 6: Final answer
x = 1,060,123.91
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.