Finding the Third Proportional to 542,003 and 805,146
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Solution
The third proportional to 542,003 and 805,146 is: 1,196,045.19
Step by Step Solution
- Step 1: Write the proportion equation
542,003 : 805,146 = 805,146 : x - Step 2: Convert to fraction form
542,003/805,146 = 805,146/x - Step 3: Cross multiply
542,003x = 805,146 × 805,146 - Step 4: Simplify right side
542,003x = 648,260,081,316 - Step 5: Solve for x
x = 648,260,081,316/542,003 - Step 6: Final answer
x = 1,196,045.19
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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.