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Finding the Third Proportional to 346,000 and 751,080

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Solution

The third proportional to 346,000 and 751,080 is: 1,630,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,000 : 751,080 = 751,080 : x
  2. Step 2: Convert to fraction form
    346,000/751,080 = 751,080/x
  3. Step 3: Cross multiply
    346,000x = 751,080 × 751,080
  4. Step 4: Simplify right side
    346,000x = 564,121,166,400
  5. Step 5: Solve for x
    x = 564,121,166,400/346,000
  6. Step 6: Final answer
    x = 1,630,408.00

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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.