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Finding the Third Proportional to 301,356 and 466,920

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Solution

The third proportional to 301,356 and 466,920 is: 723,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,356 : 466,920 = 466,920 : x
  2. Step 2: Convert to fraction form
    301,356/466,920 = 466,920/x
  3. Step 3: Cross multiply
    301,356x = 466,920 × 466,920
  4. Step 4: Simplify right side
    301,356x = 218,014,286,400
  5. Step 5: Solve for x
    x = 218,014,286,400/301,356
  6. Step 6: Final answer
    x = 723,444.32

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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.