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Finding the Third Proportional to 228,225 and 492,537

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Solution

The third proportional to 228,225 and 492,537 is: 1,062,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,225 : 492,537 = 492,537 : x
  2. Step 2: Convert to fraction form
    228,225/492,537 = 492,537/x
  3. Step 3: Cross multiply
    228,225x = 492,537 × 492,537
  4. Step 4: Simplify right side
    228,225x = 242,592,696,369
  5. Step 5: Solve for x
    x = 242,592,696,369/228,225
  6. Step 6: Final answer
    x = 1,062,954.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.