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Finding the Third Proportional to 228,249 and 492,588

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Solution

The third proportional to 228,249 and 492,588 is: 1,063,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,249 : 492,588 = 492,588 : x
  2. Step 2: Convert to fraction form
    228,249/492,588 = 492,588/x
  3. Step 3: Cross multiply
    228,249x = 492,588 × 492,588
  4. Step 4: Simplify right side
    228,249x = 242,642,937,744
  5. Step 5: Solve for x
    x = 242,642,937,744/228,249
  6. Step 6: Final answer
    x = 1,063,062.44

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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.