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Finding the Third Proportional to 342,120 and 750,336

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Solution

The third proportional to 342,120 and 750,336 is: 1,645,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,120 : 750,336 = 750,336 : x
  2. Step 2: Convert to fraction form
    342,120/750,336 = 750,336/x
  3. Step 3: Cross multiply
    342,120x = 750,336 × 750,336
  4. Step 4: Simplify right side
    342,120x = 563,004,112,896
  5. Step 5: Solve for x
    x = 563,004,112,896/342,120
  6. Step 6: Final answer
    x = 1,645,633.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.