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Finding the Third Proportional to 354,890 and 536,033

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Solution

The third proportional to 354,890 and 536,033 is: 809,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,890 : 536,033 = 536,033 : x
  2. Step 2: Convert to fraction form
    354,890/536,033 = 536,033/x
  3. Step 3: Cross multiply
    354,890x = 536,033 × 536,033
  4. Step 4: Simplify right side
    354,890x = 287,331,377,089
  5. Step 5: Solve for x
    x = 287,331,377,089/354,890
  6. Step 6: Final answer
    x = 809,635.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.