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Finding the Third Proportional to 346,608 and 463,614

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Solution

The third proportional to 346,608 and 463,614 is: 620,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,608 : 463,614 = 463,614 : x
  2. Step 2: Convert to fraction form
    346,608/463,614 = 463,614/x
  3. Step 3: Cross multiply
    346,608x = 463,614 × 463,614
  4. Step 4: Simplify right side
    346,608x = 214,937,940,996
  5. Step 5: Solve for x
    x = 214,937,940,996/346,608
  6. Step 6: Final answer
    x = 620,118.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.