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Finding the Third Proportional to 235,055.25 and 507,515.63

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Solution

The third proportional to 235,055.25 and 507,515.63 is: 1,095,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,055.25 : 507,515.63 = 507,515.63 : x
  2. Step 2: Convert to fraction form
    235,055.25/507,515.63 = 507,515.63/x
  3. Step 3: Cross multiply
    235,055.25x = 507,515.63 × 507,515.63
  4. Step 4: Simplify right side
    235,055.25x = 257,572,109,619.14
  5. Step 5: Solve for x
    x = 257,572,109,619.14/235,055.25
  6. Step 6: Final answer
    x = 1,095,793.90

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