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Finding the Third Proportional to 302,044 and 423,398

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Solution

The third proportional to 302,044 and 423,398 is: 593,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,044 : 423,398 = 423,398 : x
  2. Step 2: Convert to fraction form
    302,044/423,398 = 423,398/x
  3. Step 3: Cross multiply
    302,044x = 423,398 × 423,398
  4. Step 4: Simplify right side
    302,044x = 179,265,866,404
  5. Step 5: Solve for x
    x = 179,265,866,404/302,044
  6. Step 6: Final answer
    x = 593,509.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.