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Finding the Third Proportional to 301,270 and 466,871

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Solution

The third proportional to 301,270 and 466,871 is: 723,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,270 : 466,871 = 466,871 : x
  2. Step 2: Convert to fraction form
    301,270/466,871 = 466,871/x
  3. Step 3: Cross multiply
    301,270x = 466,871 × 466,871
  4. Step 4: Simplify right side
    301,270x = 217,968,530,641
  5. Step 5: Solve for x
    x = 217,968,530,641/301,270
  6. Step 6: Final answer
    x = 723,498.96

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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.