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Finding the Third Proportional to 342,089 and 536,628

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Solution

The third proportional to 342,089 and 536,628 is: 841,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,089 : 536,628 = 536,628 : x
  2. Step 2: Convert to fraction form
    342,089/536,628 = 536,628/x
  3. Step 3: Cross multiply
    342,089x = 536,628 × 536,628
  4. Step 4: Simplify right side
    342,089x = 287,969,610,384
  5. Step 5: Solve for x
    x = 287,969,610,384/342,089
  6. Step 6: Final answer
    x = 841,797.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.