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Finding the Third Proportional to 464,995.50 and 658,149

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Solution

The third proportional to 464,995.50 and 658,149 is: 931,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,995.50 : 658,149 = 658,149 : x
  2. Step 2: Convert to fraction form
    464,995.50/658,149 = 658,149/x
  3. Step 3: Cross multiply
    464,995.50x = 658,149 × 658,149
  4. Step 4: Simplify right side
    464,995.50x = 433,160,106,201
  5. Step 5: Solve for x
    x = 433,160,106,201/464,995.50
  6. Step 6: Final answer
    x = 931,536.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.