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Finding the Third Proportional to 267,232 and 429,810

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Solution

The third proportional to 267,232 and 429,810 is: 691,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,232 : 429,810 = 429,810 : x
  2. Step 2: Convert to fraction form
    267,232/429,810 = 429,810/x
  3. Step 3: Cross multiply
    267,232x = 429,810 × 429,810
  4. Step 4: Simplify right side
    267,232x = 184,736,636,100
  5. Step 5: Solve for x
    x = 184,736,636,100/267,232
  6. Step 6: Final answer
    x = 691,296.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.