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Finding the Third Proportional to 246,733 and 528,431

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Solution

The third proportional to 246,733 and 528,431 is: 1,131,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,733 : 528,431 = 528,431 : x
  2. Step 2: Convert to fraction form
    246,733/528,431 = 528,431/x
  3. Step 3: Cross multiply
    246,733x = 528,431 × 528,431
  4. Step 4: Simplify right side
    246,733x = 279,239,321,761
  5. Step 5: Solve for x
    x = 279,239,321,761/246,733
  6. Step 6: Final answer
    x = 1,131,746.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.