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Finding the Third Proportional to 309,373.50 and 492,279

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Solution

The third proportional to 309,373.50 and 492,279 is: 783,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,373.50 : 492,279 = 492,279 : x
  2. Step 2: Convert to fraction form
    309,373.50/492,279 = 492,279/x
  3. Step 3: Cross multiply
    309,373.50x = 492,279 × 492,279
  4. Step 4: Simplify right side
    309,373.50x = 242,338,613,841
  5. Step 5: Solve for x
    x = 242,338,613,841/309,373.50
  6. Step 6: Final answer
    x = 783,320.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.