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Finding the Third Proportional to 325,120 and 695,304

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Solution

The third proportional to 325,120 and 695,304 is: 1,486,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,120 : 695,304 = 695,304 : x
  2. Step 2: Convert to fraction form
    325,120/695,304 = 695,304/x
  3. Step 3: Cross multiply
    325,120x = 695,304 × 695,304
  4. Step 4: Simplify right side
    325,120x = 483,447,652,416
  5. Step 5: Solve for x
    x = 483,447,652,416/325,120
  6. Step 6: Final answer
    x = 1,486,982.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.