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Finding the Third Proportional to 344,471 and 503,095

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Solution

The third proportional to 344,471 and 503,095 is: 734,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,471 : 503,095 = 503,095 : x
  2. Step 2: Convert to fraction form
    344,471/503,095 = 503,095/x
  3. Step 3: Cross multiply
    344,471x = 503,095 × 503,095
  4. Step 4: Simplify right side
    344,471x = 253,104,579,025
  5. Step 5: Solve for x
    x = 253,104,579,025/344,471
  6. Step 6: Final answer
    x = 734,763.10

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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.