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Finding the Third Proportional to 235,054.50 and 507,513.75

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Solution

The third proportional to 235,054.50 and 507,513.75 is: 1,095,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,054.50 : 507,513.75 = 507,513.75 : x
  2. Step 2: Convert to fraction form
    235,054.50/507,513.75 = 507,513.75/x
  3. Step 3: Cross multiply
    235,054.50x = 507,513.75 × 507,513.75
  4. Step 4: Simplify right side
    235,054.50x = 257,570,206,439.06
  5. Step 5: Solve for x
    x = 257,570,206,439.06/235,054.50
  6. Step 6: Final answer
    x = 1,095,789.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.