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Finding the Third Proportional to 364,902 and 801,732

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Solution

The third proportional to 364,902 and 801,732 is: 1,761,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,902 : 801,732 = 801,732 : x
  2. Step 2: Convert to fraction form
    364,902/801,732 = 801,732/x
  3. Step 3: Cross multiply
    364,902x = 801,732 × 801,732
  4. Step 4: Simplify right side
    364,902x = 642,774,199,824
  5. Step 5: Solve for x
    x = 642,774,199,824/364,902
  6. Step 6: Final answer
    x = 1,761,498.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.