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Finding the Third Proportional to 214,389 and 468,765

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Solution

The third proportional to 214,389 and 468,765 is: 1,024,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,389 : 468,765 = 468,765 : x
  2. Step 2: Convert to fraction form
    214,389/468,765 = 468,765/x
  3. Step 3: Cross multiply
    214,389x = 468,765 × 468,765
  4. Step 4: Simplify right side
    214,389x = 219,740,625,225
  5. Step 5: Solve for x
    x = 219,740,625,225/214,389
  6. Step 6: Final answer
    x = 1,024,962.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.