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Finding the Third Proportional to 370,576 and 808,064

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Solution

The third proportional to 370,576 and 808,064 is: 1,762,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,576 : 808,064 = 808,064 : x
  2. Step 2: Convert to fraction form
    370,576/808,064 = 808,064/x
  3. Step 3: Cross multiply
    370,576x = 808,064 × 808,064
  4. Step 4: Simplify right side
    370,576x = 652,967,428,096
  5. Step 5: Solve for x
    x = 652,967,428,096/370,576
  6. Step 6: Final answer
    x = 1,762,033.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.