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Finding the Third Proportional to 340,029 and 500,634

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Solution

The third proportional to 340,029 and 500,634 is: 737,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,029 : 500,634 = 500,634 : x
  2. Step 2: Convert to fraction form
    340,029/500,634 = 500,634/x
  3. Step 3: Cross multiply
    340,029x = 500,634 × 500,634
  4. Step 4: Simplify right side
    340,029x = 250,634,401,956
  5. Step 5: Solve for x
    x = 250,634,401,956/340,029
  6. Step 6: Final answer
    x = 737,097.14

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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.