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Finding the Third Proportional to 513,202.50 and 739,246.50

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Solution

The third proportional to 513,202.50 and 739,246.50 is: 1,064,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,202.50 : 739,246.50 = 739,246.50 : x
  2. Step 2: Convert to fraction form
    513,202.50/739,246.50 = 739,246.50/x
  3. Step 3: Cross multiply
    513,202.50x = 739,246.50 × 739,246.50
  4. Step 4: Simplify right side
    513,202.50x = 546,485,387,762.25
  5. Step 5: Solve for x
    x = 546,485,387,762.25/513,202.50
  6. Step 6: Final answer
    x = 1,064,853.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.