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Finding the Third Proportional to 464,180.25 and 626,286.38

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Solution

The third proportional to 464,180.25 and 626,286.38 is: 845,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,180.25 : 626,286.38 = 626,286.38 : x
  2. Step 2: Convert to fraction form
    464,180.25/626,286.38 = 626,286.38/x
  3. Step 3: Cross multiply
    464,180.25x = 626,286.38 × 626,286.38
  4. Step 4: Simplify right side
    464,180.25x = 392,234,623,510.64
  5. Step 5: Solve for x
    x = 392,234,623,510.64/464,180.25
  6. Step 6: Final answer
    x = 845,004.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.