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Finding the Third Proportional to 266,042 and 544,513

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Solution

The third proportional to 266,042 and 544,513 is: 1,114,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,042 : 544,513 = 544,513 : x
  2. Step 2: Convert to fraction form
    266,042/544,513 = 544,513/x
  3. Step 3: Cross multiply
    266,042x = 544,513 × 544,513
  4. Step 4: Simplify right side
    266,042x = 296,494,407,169
  5. Step 5: Solve for x
    x = 296,494,407,169/266,042
  6. Step 6: Final answer
    x = 1,114,464.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.