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Finding the Third Proportional to 356,715.50 and 489,146

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Solution

The third proportional to 356,715.50 and 489,146 is: 670,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,715.50 : 489,146 = 489,146 : x
  2. Step 2: Convert to fraction form
    356,715.50/489,146 = 489,146/x
  3. Step 3: Cross multiply
    356,715.50x = 489,146 × 489,146
  4. Step 4: Simplify right side
    356,715.50x = 239,263,809,316
  5. Step 5: Solve for x
    x = 239,263,809,316/356,715.50
  6. Step 6: Final answer
    x = 670,741.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.