Finding the Third Proportional to 359,534 and 782,464
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Solution
The third proportional to 359,534 and 782,464 is: 1,702,898.51
Step by Step Solution
- Step 1: Write the proportion equation
359,534 : 782,464 = 782,464 : x - Step 2: Convert to fraction form
359,534/782,464 = 782,464/x - Step 3: Cross multiply
359,534x = 782,464 × 782,464 - Step 4: Simplify right side
359,534x = 612,249,911,296 - Step 5: Solve for x
x = 612,249,911,296/359,534 - Step 6: Final answer
x = 1,702,898.51
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.