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Finding the Third Proportional to 291,141 and 636,258

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Solution

The third proportional to 291,141 and 636,258 is: 1,390,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,141 : 636,258 = 636,258 : x
  2. Step 2: Convert to fraction form
    291,141/636,258 = 636,258/x
  3. Step 3: Cross multiply
    291,141x = 636,258 × 636,258
  4. Step 4: Simplify right side
    291,141x = 404,824,242,564
  5. Step 5: Solve for x
    x = 404,824,242,564/291,141
  6. Step 6: Final answer
    x = 1,390,474.86

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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.