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Finding the Third Proportional to 235,562 and 515,986

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Solution

The third proportional to 235,562 and 515,986 is: 1,130,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,562 : 515,986 = 515,986 : x
  2. Step 2: Convert to fraction form
    235,562/515,986 = 515,986/x
  3. Step 3: Cross multiply
    235,562x = 515,986 × 515,986
  4. Step 4: Simplify right side
    235,562x = 266,241,552,196
  5. Step 5: Solve for x
    x = 266,241,552,196/235,562
  6. Step 6: Final answer
    x = 1,130,239.82

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Why These Related Problems?

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