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Finding the Third Proportional to 301,446 and 466,335

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Solution

The third proportional to 301,446 and 466,335 is: 721,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446 : 466,335 = 466,335 : x
  2. Step 2: Convert to fraction form
    301,446/466,335 = 466,335/x
  3. Step 3: Cross multiply
    301,446x = 466,335 × 466,335
  4. Step 4: Simplify right side
    301,446x = 217,468,332,225
  5. Step 5: Solve for x
    x = 217,468,332,225/301,446
  6. Step 6: Final answer
    x = 721,417.21

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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.