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Finding the Third Proportional to 529,635 and 810,349.50

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Solution

The third proportional to 529,635 and 810,349.50 is: 1,239,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,635 : 810,349.50 = 810,349.50 : x
  2. Step 2: Convert to fraction form
    529,635/810,349.50 = 810,349.50/x
  3. Step 3: Cross multiply
    529,635x = 810,349.50 × 810,349.50
  4. Step 4: Simplify right side
    529,635x = 656,666,312,150.25
  5. Step 5: Solve for x
    x = 656,666,312,150.25/529,635
  6. Step 6: Final answer
    x = 1,239,846.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.