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Finding the Third Proportional to 345,266 and 753,298

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Solution

The third proportional to 345,266 and 753,298 is: 1,643,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,266 : 753,298 = 753,298 : x
  2. Step 2: Convert to fraction form
    345,266/753,298 = 753,298/x
  3. Step 3: Cross multiply
    345,266x = 753,298 × 753,298
  4. Step 4: Simplify right side
    345,266x = 567,457,876,804
  5. Step 5: Solve for x
    x = 567,457,876,804/345,266
  6. Step 6: Final answer
    x = 1,643,538.25

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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.