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Finding the Third Proportional to 261,318 and 554,037

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Solution

The third proportional to 261,318 and 554,037 is: 1,174,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,318 : 554,037 = 554,037 : x
  2. Step 2: Convert to fraction form
    261,318/554,037 = 554,037/x
  3. Step 3: Cross multiply
    261,318x = 554,037 × 554,037
  4. Step 4: Simplify right side
    261,318x = 306,956,997,369
  5. Step 5: Solve for x
    x = 306,956,997,369/261,318
  6. Step 6: Final answer
    x = 1,174,649.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.