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Finding the Third Proportional to 214,740 and 466,407

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Solution

The third proportional to 214,740 and 466,407 is: 1,013,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,740 : 466,407 = 466,407 : x
  2. Step 2: Convert to fraction form
    214,740/466,407 = 466,407/x
  3. Step 3: Cross multiply
    214,740x = 466,407 × 466,407
  4. Step 4: Simplify right side
    214,740x = 217,535,489,649
  5. Step 5: Solve for x
    x = 217,535,489,649/214,740
  6. Step 6: Final answer
    x = 1,013,018.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.