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Finding the Third Proportional to 545,235 and 827,664

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Solution

The third proportional to 545,235 and 827,664 is: 1,256,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,235 : 827,664 = 827,664 : x
  2. Step 2: Convert to fraction form
    545,235/827,664 = 827,664/x
  3. Step 3: Cross multiply
    545,235x = 827,664 × 827,664
  4. Step 4: Simplify right side
    545,235x = 685,027,696,896
  5. Step 5: Solve for x
    x = 685,027,696,896/545,235
  6. Step 6: Final answer
    x = 1,256,389.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.