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Finding the Third Proportional to 235,509 and 515,804.25

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Solution

The third proportional to 235,509 and 515,804.25 is: 1,129,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,509 : 515,804.25 = 515,804.25 : x
  2. Step 2: Convert to fraction form
    235,509/515,804.25 = 515,804.25/x
  3. Step 3: Cross multiply
    235,509x = 515,804.25 × 515,804.25
  4. Step 4: Simplify right side
    235,509x = 266,054,024,318.06
  5. Step 5: Solve for x
    x = 266,054,024,318.06/235,509
  6. Step 6: Final answer
    x = 1,129,697.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.