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Finding the Third Proportional to 229,095 and 503,355

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Solution

The third proportional to 229,095 and 503,355 is: 1,105,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,095 : 503,355 = 503,355 : x
  2. Step 2: Convert to fraction form
    229,095/503,355 = 503,355/x
  3. Step 3: Cross multiply
    229,095x = 503,355 × 503,355
  4. Step 4: Simplify right side
    229,095x = 253,366,256,025
  5. Step 5: Solve for x
    x = 253,366,256,025/229,095
  6. Step 6: Final answer
    x = 1,105,944.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.