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Finding the Third Proportional to 427,784 and 598,101

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Solution

The third proportional to 427,784 and 598,101 is: 836,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,784 : 598,101 = 598,101 : x
  2. Step 2: Convert to fraction form
    427,784/598,101 = 598,101/x
  3. Step 3: Cross multiply
    427,784x = 598,101 × 598,101
  4. Step 4: Simplify right side
    427,784x = 357,724,806,201
  5. Step 5: Solve for x
    x = 357,724,806,201/427,784
  6. Step 6: Final answer
    x = 836,227.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.