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Finding the Third Proportional to 370,405 and 560,771

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Solution

The third proportional to 370,405 and 560,771 is: 848,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,405 : 560,771 = 560,771 : x
  2. Step 2: Convert to fraction form
    370,405/560,771 = 560,771/x
  3. Step 3: Cross multiply
    370,405x = 560,771 × 560,771
  4. Step 4: Simplify right side
    370,405x = 314,464,114,441
  5. Step 5: Solve for x
    x = 314,464,114,441/370,405
  6. Step 6: Final answer
    x = 848,973.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.