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Finding the Third Proportional to 288,164 and 463,000

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Solution

The third proportional to 288,164 and 463,000 is: 743,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,164 : 463,000 = 463,000 : x
  2. Step 2: Convert to fraction form
    288,164/463,000 = 463,000/x
  3. Step 3: Cross multiply
    288,164x = 463,000 × 463,000
  4. Step 4: Simplify right side
    288,164x = 214,369,000,000
  5. Step 5: Solve for x
    x = 214,369,000,000/288,164
  6. Step 6: Final answer
    x = 743,913.19

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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.