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Finding the Third Proportional to 346,139 and 751,327

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Solution

The third proportional to 346,139 and 751,327 is: 1,630,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,139 : 751,327 = 751,327 : x
  2. Step 2: Convert to fraction form
    346,139/751,327 = 751,327/x
  3. Step 3: Cross multiply
    346,139x = 751,327 × 751,327
  4. Step 4: Simplify right side
    346,139x = 564,492,260,929
  5. Step 5: Solve for x
    x = 564,492,260,929/346,139
  6. Step 6: Final answer
    x = 1,630,825.36

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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.