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Finding the Third Proportional to 344,619 and 503,559

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Solution

The third proportional to 344,619 and 503,559 is: 735,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,619 : 503,559 = 503,559 : x
  2. Step 2: Convert to fraction form
    344,619/503,559 = 503,559/x
  3. Step 3: Cross multiply
    344,619x = 503,559 × 503,559
  4. Step 4: Simplify right side
    344,619x = 253,571,666,481
  5. Step 5: Solve for x
    x = 253,571,666,481/344,619
  6. Step 6: Final answer
    x = 735,802.92

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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.