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Finding the Third Proportional to 228,080 and 500,224

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Solution

The third proportional to 228,080 and 500,224 is: 1,097,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,080 : 500,224 = 500,224 : x
  2. Step 2: Convert to fraction form
    228,080/500,224 = 500,224/x
  3. Step 3: Cross multiply
    228,080x = 500,224 × 500,224
  4. Step 4: Simplify right side
    228,080x = 250,224,050,176
  5. Step 5: Solve for x
    x = 250,224,050,176/228,080
  6. Step 6: Final answer
    x = 1,097,088.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.