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Finding the Third Proportional to 316,024 and 587,213

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Solution

The third proportional to 316,024 and 587,213 is: 1,091,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,024 : 587,213 = 587,213 : x
  2. Step 2: Convert to fraction form
    316,024/587,213 = 587,213/x
  3. Step 3: Cross multiply
    316,024x = 587,213 × 587,213
  4. Step 4: Simplify right side
    316,024x = 344,819,107,369
  5. Step 5: Solve for x
    x = 344,819,107,369/316,024
  6. Step 6: Final answer
    x = 1,091,116.84

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.