Finding the Third Proportional to 460,065 and 698,376
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Solution
The third proportional to 460,065 and 698,376 is: 1,060,130.71
Step by Step Solution
- Step 1: Write the proportion equation
460,065 : 698,376 = 698,376 : x - Step 2: Convert to fraction form
460,065/698,376 = 698,376/x - Step 3: Cross multiply
460,065x = 698,376 × 698,376 - Step 4: Simplify right side
460,065x = 487,729,037,376 - Step 5: Solve for x
x = 487,729,037,376/460,065 - Step 6: Final answer
x = 1,060,130.71
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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.