Finding the Third Proportional to 406,506 and 603,864
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Solution
The third proportional to 406,506 and 603,864 is: 897,038.99
Step by Step Solution
- Step 1: Write the proportion equation
406,506 : 603,864 = 603,864 : x - Step 2: Convert to fraction form
406,506/603,864 = 603,864/x - Step 3: Cross multiply
406,506x = 603,864 × 603,864 - Step 4: Simplify right side
406,506x = 364,651,730,496 - Step 5: Solve for x
x = 364,651,730,496/406,506 - Step 6: Final answer
x = 897,038.99
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.