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Finding the Third Proportional to 291,236 and 639,572

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Solution

The third proportional to 291,236 and 639,572 is: 1,404,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,236 : 639,572 = 639,572 : x
  2. Step 2: Convert to fraction form
    291,236/639,572 = 639,572/x
  3. Step 3: Cross multiply
    291,236x = 639,572 × 639,572
  4. Step 4: Simplify right side
    291,236x = 409,052,343,184
  5. Step 5: Solve for x
    x = 409,052,343,184/291,236
  6. Step 6: Final answer
    x = 1,404,539.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.