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Finding the Third Proportional to 288,152 and 462,984

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Solution

The third proportional to 288,152 and 462,984 is: 743,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,152 : 462,984 = 462,984 : x
  2. Step 2: Convert to fraction form
    288,152/462,984 = 462,984/x
  3. Step 3: Cross multiply
    288,152x = 462,984 × 462,984
  4. Step 4: Simplify right side
    288,152x = 214,354,184,256
  5. Step 5: Solve for x
    x = 214,354,184,256/288,152
  6. Step 6: Final answer
    x = 743,892.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.