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Finding the Third Proportional to 529,207.50 and 795,004.50

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Solution

The third proportional to 529,207.50 and 795,004.50 is: 1,194,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,207.50 : 795,004.50 = 795,004.50 : x
  2. Step 2: Convert to fraction form
    529,207.50/795,004.50 = 795,004.50/x
  3. Step 3: Cross multiply
    529,207.50x = 795,004.50 × 795,004.50
  4. Step 4: Simplify right side
    529,207.50x = 632,032,155,020.25
  5. Step 5: Solve for x
    x = 632,032,155,020.25/529,207.50
  6. Step 6: Final answer
    x = 1,194,299.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.