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Finding the Third Proportional to 201,219 and 426,421

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Solution

The third proportional to 201,219 and 426,421 is: 903,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,219 : 426,421 = 426,421 : x
  2. Step 2: Convert to fraction form
    201,219/426,421 = 426,421/x
  3. Step 3: Cross multiply
    201,219x = 426,421 × 426,421
  4. Step 4: Simplify right side
    201,219x = 181,834,869,241
  5. Step 5: Solve for x
    x = 181,834,869,241/201,219
  6. Step 6: Final answer
    x = 903,666.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.