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Finding the Third Proportional to 316,170 and 482,283

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Solution

The third proportional to 316,170 and 482,283 is: 735,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,170 : 482,283 = 482,283 : x
  2. Step 2: Convert to fraction form
    316,170/482,283 = 482,283/x
  3. Step 3: Cross multiply
    316,170x = 482,283 × 482,283
  4. Step 4: Simplify right side
    316,170x = 232,596,892,089
  5. Step 5: Solve for x
    x = 232,596,892,089/316,170
  6. Step 6: Final answer
    x = 735,670.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.