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Finding the Third Proportional to 322,507.50 and 501,050.25

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Solution

The third proportional to 322,507.50 and 501,050.25 is: 778,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,507.50 : 501,050.25 = 501,050.25 : x
  2. Step 2: Convert to fraction form
    322,507.50/501,050.25 = 501,050.25/x
  3. Step 3: Cross multiply
    322,507.50x = 501,050.25 × 501,050.25
  4. Step 4: Simplify right side
    322,507.50x = 251,051,353,025.06
  5. Step 5: Solve for x
    x = 251,051,353,025.06/322,507.50
  6. Step 6: Final answer
    x = 778,435.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.