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Finding the Third Proportional to 228,579.75 and 525,702.94

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Solution

The third proportional to 228,579.75 and 525,702.94 is: 1,209,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,579.75 : 525,702.94 = 525,702.94 : x
  2. Step 2: Convert to fraction form
    228,579.75/525,702.94 = 525,702.94/x
  3. Step 3: Cross multiply
    228,579.75x = 525,702.94 × 525,702.94
  4. Step 4: Simplify right side
    228,579.75x = 276,363,578,496.13
  5. Step 5: Solve for x
    x = 276,363,578,496.13/228,579.75
  6. Step 6: Final answer
    x = 1,209,046.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.