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Finding the Third Proportional to 340,290 and 522,333

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Solution

The third proportional to 340,290 and 522,333 is: 801,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,290 : 522,333 = 522,333 : x
  2. Step 2: Convert to fraction form
    340,290/522,333 = 522,333/x
  3. Step 3: Cross multiply
    340,290x = 522,333 × 522,333
  4. Step 4: Simplify right side
    340,290x = 272,831,762,889
  5. Step 5: Solve for x
    x = 272,831,762,889/340,290
  6. Step 6: Final answer
    x = 801,762.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.