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Finding the Third Proportional to 297,224 and 460,416

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Solution

The third proportional to 297,224 and 460,416 is: 713,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,224 : 460,416 = 460,416 : x
  2. Step 2: Convert to fraction form
    297,224/460,416 = 460,416/x
  3. Step 3: Cross multiply
    297,224x = 460,416 × 460,416
  4. Step 4: Simplify right side
    297,224x = 211,982,893,056
  5. Step 5: Solve for x
    x = 211,982,893,056/297,224
  6. Step 6: Final answer
    x = 713,209.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.