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Finding the Third Proportional to 266,442 and 557,516

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Solution

The third proportional to 266,442 and 557,516 is: 1,166,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,442 : 557,516 = 557,516 : x
  2. Step 2: Convert to fraction form
    266,442/557,516 = 557,516/x
  3. Step 3: Cross multiply
    266,442x = 557,516 × 557,516
  4. Step 4: Simplify right side
    266,442x = 310,824,090,256
  5. Step 5: Solve for x
    x = 310,824,090,256/266,442
  6. Step 6: Final answer
    x = 1,166,573.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.