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Finding the Third Proportional to 228,553 and 492,095

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Solution

The third proportional to 228,553 and 492,095 is: 1,059,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,553 : 492,095 = 492,095 : x
  2. Step 2: Convert to fraction form
    228,553/492,095 = 492,095/x
  3. Step 3: Cross multiply
    228,553x = 492,095 × 492,095
  4. Step 4: Simplify right side
    228,553x = 242,157,489,025
  5. Step 5: Solve for x
    x = 242,157,489,025/228,553
  6. Step 6: Final answer
    x = 1,059,524.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.