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Finding the Third Proportional to 255,146 and 558,932

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Solution

The third proportional to 255,146 and 558,932 is: 1,224,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,146 : 558,932 = 558,932 : x
  2. Step 2: Convert to fraction form
    255,146/558,932 = 558,932/x
  3. Step 3: Cross multiply
    255,146x = 558,932 × 558,932
  4. Step 4: Simplify right side
    255,146x = 312,404,980,624
  5. Step 5: Solve for x
    x = 312,404,980,624/255,146
  6. Step 6: Final answer
    x = 1,224,416.53

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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.