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Finding the Third Proportional to 267,230 and 556,492

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Solution

The third proportional to 267,230 and 556,492 is: 1,158,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,230 : 556,492 = 556,492 : x
  2. Step 2: Convert to fraction form
    267,230/556,492 = 556,492/x
  3. Step 3: Cross multiply
    267,230x = 556,492 × 556,492
  4. Step 4: Simplify right side
    267,230x = 309,683,346,064
  5. Step 5: Solve for x
    x = 309,683,346,064/267,230
  6. Step 6: Final answer
    x = 1,158,864.45

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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.