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Finding the Third Proportional to 344,624 and 503,564

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Solution

The third proportional to 344,624 and 503,564 is: 735,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,624 : 503,564 = 503,564 : x
  2. Step 2: Convert to fraction form
    344,624/503,564 = 503,564/x
  3. Step 3: Cross multiply
    344,624x = 503,564 × 503,564
  4. Step 4: Simplify right side
    344,624x = 253,576,702,096
  5. Step 5: Solve for x
    x = 253,576,702,096/344,624
  6. Step 6: Final answer
    x = 735,806.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.