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Finding the Third Proportional to 488,733.75 and 557,624.25

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Solution

The third proportional to 488,733.75 and 557,624.25 is: 636,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,733.75 : 557,624.25 = 557,624.25 : x
  2. Step 2: Convert to fraction form
    488,733.75/557,624.25 = 557,624.25/x
  3. Step 3: Cross multiply
    488,733.75x = 557,624.25 × 557,624.25
  4. Step 4: Simplify right side
    488,733.75x = 310,944,804,188.06
  5. Step 5: Solve for x
    x = 310,944,804,188.06/488,733.75
  6. Step 6: Final answer
    x = 636,225.36

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.