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Finding the Third Proportional to 292,137 and 437,037

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Solution

The third proportional to 292,137 and 437,037 is: 653,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,137 : 437,037 = 437,037 : x
  2. Step 2: Convert to fraction form
    292,137/437,037 = 437,037/x
  3. Step 3: Cross multiply
    292,137x = 437,037 × 437,037
  4. Step 4: Simplify right side
    292,137x = 191,001,339,369
  5. Step 5: Solve for x
    x = 191,001,339,369/292,137
  6. Step 6: Final answer
    x = 653,807.42

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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.