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Finding the Third Proportional to 316,986.50 and 464,100

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Solution

The third proportional to 316,986.50 and 464,100 is: 679,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,986.50 : 464,100 = 464,100 : x
  2. Step 2: Convert to fraction form
    316,986.50/464,100 = 464,100/x
  3. Step 3: Cross multiply
    316,986.50x = 464,100 × 464,100
  4. Step 4: Simplify right side
    316,986.50x = 215,388,810,000
  5. Step 5: Solve for x
    x = 215,388,810,000/316,986.50
  6. Step 6: Final answer
    x = 679,488.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.