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Finding the Third Proportional to 557,452.50 and 841,404

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Solution

The third proportional to 557,452.50 and 841,404 is: 1,269,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,452.50 : 841,404 = 841,404 : x
  2. Step 2: Convert to fraction form
    557,452.50/841,404 = 841,404/x
  3. Step 3: Cross multiply
    557,452.50x = 841,404 × 841,404
  4. Step 4: Simplify right side
    557,452.50x = 707,960,691,216
  5. Step 5: Solve for x
    x = 707,960,691,216/557,452.50
  6. Step 6: Final answer
    x = 1,269,992.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.