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Finding the Third Proportional to 344,502 and 503,145

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Solution

The third proportional to 344,502 and 503,145 is: 734,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,502 : 503,145 = 503,145 : x
  2. Step 2: Convert to fraction form
    344,502/503,145 = 503,145/x
  3. Step 3: Cross multiply
    344,502x = 503,145 × 503,145
  4. Step 4: Simplify right side
    344,502x = 253,154,891,025
  5. Step 5: Solve for x
    x = 253,154,891,025/344,502
  6. Step 6: Final answer
    x = 734,843.02

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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.