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Finding the Third Proportional to 360,576 and 676,032

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Solution

The third proportional to 360,576 and 676,032 is: 1,267,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,576 : 676,032 = 676,032 : x
  2. Step 2: Convert to fraction form
    360,576/676,032 = 676,032/x
  3. Step 3: Cross multiply
    360,576x = 676,032 × 676,032
  4. Step 4: Simplify right side
    360,576x = 457,019,265,024
  5. Step 5: Solve for x
    x = 457,019,265,024/360,576
  6. Step 6: Final answer
    x = 1,267,470.01

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.