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Finding the Third Proportional to 233,210 and 494,445

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Solution

The third proportional to 233,210 and 494,445 is: 1,048,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,210 : 494,445 = 494,445 : x
  2. Step 2: Convert to fraction form
    233,210/494,445 = 494,445/x
  3. Step 3: Cross multiply
    233,210x = 494,445 × 494,445
  4. Step 4: Simplify right side
    233,210x = 244,475,858,025
  5. Step 5: Solve for x
    x = 244,475,858,025/233,210
  6. Step 6: Final answer
    x = 1,048,307.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.