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Finding the Third Proportional to 255,206 and 559,258

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Solution

The third proportional to 255,206 and 559,258 is: 1,225,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206 : 559,258 = 559,258 : x
  2. Step 2: Convert to fraction form
    255,206/559,258 = 559,258/x
  3. Step 3: Cross multiply
    255,206x = 559,258 × 559,258
  4. Step 4: Simplify right side
    255,206x = 312,769,510,564
  5. Step 5: Solve for x
    x = 312,769,510,564/255,206
  6. Step 6: Final answer
    x = 1,225,557.04

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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.