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Finding the Third Proportional to 346,064 and 442,212

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Solution

The third proportional to 346,064 and 442,212 is: 565,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,064 : 442,212 = 442,212 : x
  2. Step 2: Convert to fraction form
    346,064/442,212 = 442,212/x
  3. Step 3: Cross multiply
    346,064x = 442,212 × 442,212
  4. Step 4: Simplify right side
    346,064x = 195,551,452,944
  5. Step 5: Solve for x
    x = 195,551,452,944/346,064
  6. Step 6: Final answer
    x = 565,073.09

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.