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Finding the Third Proportional to 352,734 and 761,223

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Solution

The third proportional to 352,734 and 761,223 is: 1,642,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,734 : 761,223 = 761,223 : x
  2. Step 2: Convert to fraction form
    352,734/761,223 = 761,223/x
  3. Step 3: Cross multiply
    352,734x = 761,223 × 761,223
  4. Step 4: Simplify right side
    352,734x = 579,460,455,729
  5. Step 5: Solve for x
    x = 579,460,455,729/352,734
  6. Step 6: Final answer
    x = 1,642,768.93

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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.