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Finding the Third Proportional to 354,224 and 526,320

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Solution

The third proportional to 354,224 and 526,320 is: 782,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,224 : 526,320 = 526,320 : x
  2. Step 2: Convert to fraction form
    354,224/526,320 = 526,320/x
  3. Step 3: Cross multiply
    354,224x = 526,320 × 526,320
  4. Step 4: Simplify right side
    354,224x = 277,012,742,400
  5. Step 5: Solve for x
    x = 277,012,742,400/354,224
  6. Step 6: Final answer
    x = 782,027.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.