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Finding the Third Proportional to 229,127 and 502,318

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Solution

The third proportional to 229,127 and 502,318 is: 1,101,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,127 : 502,318 = 502,318 : x
  2. Step 2: Convert to fraction form
    229,127/502,318 = 502,318/x
  3. Step 3: Cross multiply
    229,127x = 502,318 × 502,318
  4. Step 4: Simplify right side
    229,127x = 252,323,373,124
  5. Step 5: Solve for x
    x = 252,323,373,124/229,127
  6. Step 6: Final answer
    x = 1,101,238.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.