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Finding the Third Proportional to 267,298 and 556,710

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Solution

The third proportional to 267,298 and 556,710 is: 1,159,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,298 : 556,710 = 556,710 : x
  2. Step 2: Convert to fraction form
    267,298/556,710 = 556,710/x
  3. Step 3: Cross multiply
    267,298x = 556,710 × 556,710
  4. Step 4: Simplify right side
    267,298x = 309,926,024,100
  5. Step 5: Solve for x
    x = 309,926,024,100/267,298
  6. Step 6: Final answer
    x = 1,159,477.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.