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Finding the Third Proportional to 212,913.50 and 463,627

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Solution

The third proportional to 212,913.50 and 463,627 is: 1,009,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,913.50 : 463,627 = 463,627 : x
  2. Step 2: Convert to fraction form
    212,913.50/463,627 = 463,627/x
  3. Step 3: Cross multiply
    212,913.50x = 463,627 × 463,627
  4. Step 4: Simplify right side
    212,913.50x = 214,949,995,129
  5. Step 5: Solve for x
    x = 214,949,995,129/212,913.50
  6. Step 6: Final answer
    x = 1,009,564.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.