Finding the Third Proportional to 563,058 and 829,656
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Solution
The third proportional to 563,058 and 829,656 is: 1,222,483.44
Step by Step Solution
- Step 1: Write the proportion equation
563,058 : 829,656 = 829,656 : x - Step 2: Convert to fraction form
563,058/829,656 = 829,656/x - Step 3: Cross multiply
563,058x = 829,656 × 829,656 - Step 4: Simplify right side
563,058x = 688,329,078,336 - Step 5: Solve for x
x = 688,329,078,336/563,058 - Step 6: Final answer
x = 1,222,483.44
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.