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Finding the Third Proportional to 379,155 and 569,704.50

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Solution

The third proportional to 379,155 and 569,704.50 is: 856,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,155 : 569,704.50 = 569,704.50 : x
  2. Step 2: Convert to fraction form
    379,155/569,704.50 = 569,704.50/x
  3. Step 3: Cross multiply
    379,155x = 569,704.50 × 569,704.50
  4. Step 4: Simplify right side
    379,155x = 324,563,217,320.25
  5. Step 5: Solve for x
    x = 324,563,217,320.25/379,155
  6. Step 6: Final answer
    x = 856,017.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.