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Finding the Third Proportional to 352,596 and 761,298

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Solution

The third proportional to 352,596 and 761,298 is: 1,643,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,596 : 761,298 = 761,298 : x
  2. Step 2: Convert to fraction form
    352,596/761,298 = 761,298/x
  3. Step 3: Cross multiply
    352,596x = 761,298 × 761,298
  4. Step 4: Simplify right side
    352,596x = 579,574,644,804
  5. Step 5: Solve for x
    x = 579,574,644,804/352,596
  6. Step 6: Final answer
    x = 1,643,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.