Finding the Third Proportional to 233,902 and 507,139
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Solution
The third proportional to 233,902 and 507,139 is: 1,099,562.92
Step by Step Solution
- Step 1: Write the proportion equation
233,902 : 507,139 = 507,139 : x - Step 2: Convert to fraction form
233,902/507,139 = 507,139/x - Step 3: Cross multiply
233,902x = 507,139 × 507,139 - Step 4: Simplify right side
233,902x = 257,189,965,321 - Step 5: Solve for x
x = 257,189,965,321/233,902 - Step 6: Final answer
x = 1,099,562.92
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.