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Finding the Third Proportional to 385,002 and 560,007

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Solution

The third proportional to 385,002 and 560,007 is: 814,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,002 : 560,007 = 560,007 : x
  2. Step 2: Convert to fraction form
    385,002/560,007 = 560,007/x
  3. Step 3: Cross multiply
    385,002x = 560,007 × 560,007
  4. Step 4: Simplify right side
    385,002x = 313,607,840,049
  5. Step 5: Solve for x
    x = 313,607,840,049/385,002
  6. Step 6: Final answer
    x = 814,561.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.