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Finding the Third Proportional to 292,037 and 426,967

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Solution

The third proportional to 292,037 and 426,967 is: 624,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,037 : 426,967 = 426,967 : x
  2. Step 2: Convert to fraction form
    292,037/426,967 = 426,967/x
  3. Step 3: Cross multiply
    292,037x = 426,967 × 426,967
  4. Step 4: Simplify right side
    292,037x = 182,300,819,089
  5. Step 5: Solve for x
    x = 182,300,819,089/292,037
  6. Step 6: Final answer
    x = 624,238.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.