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Finding the Third Proportional to 363,762 and 790,476

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Solution

The third proportional to 363,762 and 790,476 is: 1,717,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,762 : 790,476 = 790,476 : x
  2. Step 2: Convert to fraction form
    363,762/790,476 = 790,476/x
  3. Step 3: Cross multiply
    363,762x = 790,476 × 790,476
  4. Step 4: Simplify right side
    363,762x = 624,852,306,576
  5. Step 5: Solve for x
    x = 624,852,306,576/363,762
  6. Step 6: Final answer
    x = 1,717,750.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.