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Finding the Third Proportional to 292,392 and 437,392

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Solution

The third proportional to 292,392 and 437,392 is: 654,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,392 : 437,392 = 437,392 : x
  2. Step 2: Convert to fraction form
    292,392/437,392 = 437,392/x
  3. Step 3: Cross multiply
    292,392x = 437,392 × 437,392
  4. Step 4: Simplify right side
    292,392x = 191,311,761,664
  5. Step 5: Solve for x
    x = 191,311,761,664/292,392
  6. Step 6: Final answer
    x = 654,298.89

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Why These Related Problems?

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