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Finding the Third Proportional to 406,101 and 595,299

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Solution

The third proportional to 406,101 and 595,299 is: 872,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,101 : 595,299 = 595,299 : x
  2. Step 2: Convert to fraction form
    406,101/595,299 = 595,299/x
  3. Step 3: Cross multiply
    406,101x = 595,299 × 595,299
  4. Step 4: Simplify right side
    406,101x = 354,380,899,401
  5. Step 5: Solve for x
    x = 354,380,899,401/406,101
  6. Step 6: Final answer
    x = 872,642.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.