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Finding the Third Proportional to 253,856 and 557,537

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Solution

The third proportional to 253,856 and 557,537 is: 1,224,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,856 : 557,537 = 557,537 : x
  2. Step 2: Convert to fraction form
    253,856/557,537 = 557,537/x
  3. Step 3: Cross multiply
    253,856x = 557,537 × 557,537
  4. Step 4: Simplify right side
    253,856x = 310,847,506,369
  5. Step 5: Solve for x
    x = 310,847,506,369/253,856
  6. Step 6: Final answer
    x = 1,224,503.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.