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Finding the Third Proportional to 354,160 and 526,224

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Solution

The third proportional to 354,160 and 526,224 is: 781,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,160 : 526,224 = 526,224 : x
  2. Step 2: Convert to fraction form
    354,160/526,224 = 526,224/x
  3. Step 3: Cross multiply
    354,160x = 526,224 × 526,224
  4. Step 4: Simplify right side
    354,160x = 276,911,698,176
  5. Step 5: Solve for x
    x = 276,911,698,176/354,160
  6. Step 6: Final answer
    x = 781,883.04

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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.