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Finding the Third Proportional to 344,212.88 and 483,870.38

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Solution

The third proportional to 344,212.88 and 483,870.38 is: 680,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,212.88 : 483,870.38 = 483,870.38 : x
  2. Step 2: Convert to fraction form
    344,212.88/483,870.38 = 483,870.38/x
  3. Step 3: Cross multiply
    344,212.88x = 483,870.38 × 483,870.38
  4. Step 4: Simplify right side
    344,212.88x = 234,130,539,802.64
  5. Step 5: Solve for x
    x = 234,130,539,802.64/344,212.88
  6. Step 6: Final answer
    x = 680,191.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.