Finding the Third Proportional to 509,456 and 785,560
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Solution
The third proportional to 509,456 and 785,560 is: 1,211,300.90
Step by Step Solution
- Step 1: Write the proportion equation
509,456 : 785,560 = 785,560 : x - Step 2: Convert to fraction form
509,456/785,560 = 785,560/x - Step 3: Cross multiply
509,456x = 785,560 × 785,560 - Step 4: Simplify right side
509,456x = 617,104,513,600 - Step 5: Solve for x
x = 617,104,513,600/509,456 - Step 6: Final answer
x = 1,211,300.90
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.