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Finding the Third Proportional to 199,426 and 437,598

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Solution

The third proportional to 199,426 and 437,598 is: 960,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,426 : 437,598 = 437,598 : x
  2. Step 2: Convert to fraction form
    199,426/437,598 = 437,598/x
  3. Step 3: Cross multiply
    199,426x = 437,598 × 437,598
  4. Step 4: Simplify right side
    199,426x = 191,492,009,604
  5. Step 5: Solve for x
    x = 191,492,009,604/199,426
  6. Step 6: Final answer
    x = 960,215.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.