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Finding the Third Proportional to 201,527 and 439,894

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Solution

The third proportional to 201,527 and 439,894 is: 960,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,527 : 439,894 = 439,894 : x
  2. Step 2: Convert to fraction form
    201,527/439,894 = 439,894/x
  3. Step 3: Cross multiply
    201,527x = 439,894 × 439,894
  4. Step 4: Simplify right side
    201,527x = 193,506,731,236
  5. Step 5: Solve for x
    x = 193,506,731,236/201,527
  6. Step 6: Final answer
    x = 960,202.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.