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Finding the Third Proportional to 344,894 and 538,299

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Solution

The third proportional to 344,894 and 538,299 is: 840,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,894 : 538,299 = 538,299 : x
  2. Step 2: Convert to fraction form
    344,894/538,299 = 538,299/x
  3. Step 3: Cross multiply
    344,894x = 538,299 × 538,299
  4. Step 4: Simplify right side
    344,894x = 289,765,813,401
  5. Step 5: Solve for x
    x = 289,765,813,401/344,894
  6. Step 6: Final answer
    x = 840,159.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.