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Finding the Third Proportional to 529,006 and 804,583

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Solution

The third proportional to 529,006 and 804,583 is: 1,223,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,006 : 804,583 = 804,583 : x
  2. Step 2: Convert to fraction form
    529,006/804,583 = 804,583/x
  3. Step 3: Cross multiply
    529,006x = 804,583 × 804,583
  4. Step 4: Simplify right side
    529,006x = 647,353,803,889
  5. Step 5: Solve for x
    x = 647,353,803,889/529,006
  6. Step 6: Final answer
    x = 1,223,717.32

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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.