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Finding the Third Proportional to 253,605 and 404,398

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Solution

The third proportional to 253,605 and 404,398 is: 644,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,605 : 404,398 = 404,398 : x
  2. Step 2: Convert to fraction form
    253,605/404,398 = 404,398/x
  3. Step 3: Cross multiply
    253,605x = 404,398 × 404,398
  4. Step 4: Simplify right side
    253,605x = 163,537,742,404
  5. Step 5: Solve for x
    x = 163,537,742,404/253,605
  6. Step 6: Final answer
    x = 644,852.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.