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Finding the Third Proportional to 529,009 and 804,588

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Solution

The third proportional to 529,009 and 804,588 is: 1,223,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,009 : 804,588 = 804,588 : x
  2. Step 2: Convert to fraction form
    529,009/804,588 = 804,588/x
  3. Step 3: Cross multiply
    529,009x = 804,588 × 804,588
  4. Step 4: Simplify right side
    529,009x = 647,361,849,744
  5. Step 5: Solve for x
    x = 647,361,849,744/529,009
  6. Step 6: Final answer
    x = 1,223,725.59

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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.