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Finding the Third Proportional to 508,221.84 and 677,537.16

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Solution

The third proportional to 508,221.84 and 677,537.16 is: 903,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,221.84 : 677,537.16 = 677,537.16 : x
  2. Step 2: Convert to fraction form
    508,221.84/677,537.16 = 677,537.16/x
  3. Step 3: Cross multiply
    508,221.84x = 677,537.16 × 677,537.16
  4. Step 4: Simplify right side
    508,221.84x = 459,056,598,099.34
  5. Step 5: Solve for x
    x = 459,056,598,099.34/508,221.84
  6. Step 6: Final answer
    x = 903,260.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.