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Finding the Third Proportional to 316,120.50 and 676,683

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Solution

The third proportional to 316,120.50 and 676,683 is: 1,448,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,120.50 : 676,683 = 676,683 : x
  2. Step 2: Convert to fraction form
    316,120.50/676,683 = 676,683/x
  3. Step 3: Cross multiply
    316,120.50x = 676,683 × 676,683
  4. Step 4: Simplify right side
    316,120.50x = 457,899,882,489
  5. Step 5: Solve for x
    x = 457,899,882,489/316,120.50
  6. Step 6: Final answer
    x = 1,448,497.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.