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Finding the Third Proportional to 309,263 and 671,005

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Solution

The third proportional to 309,263 and 671,005 is: 1,455,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,263 : 671,005 = 671,005 : x
  2. Step 2: Convert to fraction form
    309,263/671,005 = 671,005/x
  3. Step 3: Cross multiply
    309,263x = 671,005 × 671,005
  4. Step 4: Simplify right side
    309,263x = 450,247,710,025
  5. Step 5: Solve for x
    x = 450,247,710,025/309,263
  6. Step 6: Final answer
    x = 1,455,873.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.