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Finding the Third Proportional to 289,544 and 637,984

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Solution

The third proportional to 289,544 and 637,984 is: 1,405,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,544 : 637,984 = 637,984 : x
  2. Step 2: Convert to fraction form
    289,544/637,984 = 637,984/x
  3. Step 3: Cross multiply
    289,544x = 637,984 × 637,984
  4. Step 4: Simplify right side
    289,544x = 407,023,584,256
  5. Step 5: Solve for x
    x = 407,023,584,256/289,544
  6. Step 6: Final answer
    x = 1,405,740.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.