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Finding the Third Proportional to 292,213.41 and 437,143.92

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Solution

The third proportional to 292,213.41 and 437,143.92 is: 653,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213.41 : 437,143.92 = 437,143.92 : x
  2. Step 2: Convert to fraction form
    292,213.41/437,143.92 = 437,143.92/x
  3. Step 3: Cross multiply
    292,213.41x = 437,143.92 × 437,143.92
  4. Step 4: Simplify right side
    292,213.41x = 191,094,808,432.26
  5. Step 5: Solve for x
    x = 191,094,808,432.26/292,213.41
  6. Step 6: Final answer
    x = 653,956.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.