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Finding the Third Proportional to 399,588 and 850,032

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Solution

The third proportional to 399,588 and 850,032 is: 1,808,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,588 : 850,032 = 850,032 : x
  2. Step 2: Convert to fraction form
    399,588/850,032 = 850,032/x
  3. Step 3: Cross multiply
    399,588x = 850,032 × 850,032
  4. Step 4: Simplify right side
    399,588x = 722,554,401,024
  5. Step 5: Solve for x
    x = 722,554,401,024/399,588
  6. Step 6: Final answer
    x = 1,808,248.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.