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Finding the Third Proportional to 385,014 and 595,017

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Solution

The third proportional to 385,014 and 595,017 is: 919,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,014 : 595,017 = 595,017 : x
  2. Step 2: Convert to fraction form
    385,014/595,017 = 595,017/x
  3. Step 3: Cross multiply
    385,014x = 595,017 × 595,017
  4. Step 4: Simplify right side
    385,014x = 354,045,230,289
  5. Step 5: Solve for x
    x = 354,045,230,289/385,014
  6. Step 6: Final answer
    x = 919,564.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.