Finding the Third Proportional to 497,572 and 749,942
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Solution
The third proportional to 497,572 and 749,942 is: 1,130,314.82
Step by Step Solution
- Step 1: Write the proportion equation
497,572 : 749,942 = 749,942 : x - Step 2: Convert to fraction form
497,572/749,942 = 749,942/x - Step 3: Cross multiply
497,572x = 749,942 × 749,942 - Step 4: Simplify right side
497,572x = 562,413,003,364 - Step 5: Solve for x
x = 562,413,003,364/497,572 - Step 6: Final answer
x = 1,130,314.82
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.