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Finding the Third Proportional to 578,024 and 767,172

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Solution

The third proportional to 578,024 and 767,172 is: 1,018,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,024 : 767,172 = 767,172 : x
  2. Step 2: Convert to fraction form
    578,024/767,172 = 767,172/x
  3. Step 3: Cross multiply
    578,024x = 767,172 × 767,172
  4. Step 4: Simplify right side
    578,024x = 588,552,877,584
  5. Step 5: Solve for x
    x = 588,552,877,584/578,024
  6. Step 6: Final answer
    x = 1,018,215.29

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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.