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Finding the Third Proportional to 466,266 and 701,130

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Solution

The third proportional to 466,266 and 701,130 is: 1,054,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,266 : 701,130 = 701,130 : x
  2. Step 2: Convert to fraction form
    466,266/701,130 = 701,130/x
  3. Step 3: Cross multiply
    466,266x = 701,130 × 701,130
  4. Step 4: Simplify right side
    466,266x = 491,583,276,900
  5. Step 5: Solve for x
    x = 491,583,276,900/466,266
  6. Step 6: Final answer
    x = 1,054,297.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.