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Finding the Third Proportional to 344,607 and 503,544

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Solution

The third proportional to 344,607 and 503,544 is: 735,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,607 : 503,544 = 503,544 : x
  2. Step 2: Convert to fraction form
    344,607/503,544 = 503,544/x
  3. Step 3: Cross multiply
    344,607x = 503,544 × 503,544
  4. Step 4: Simplify right side
    344,607x = 253,556,559,936
  5. Step 5: Solve for x
    x = 253,556,559,936/344,607
  6. Step 6: Final answer
    x = 735,784.71

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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.