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Finding the Third Proportional to 235,564.50 and 515,988

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Solution

The third proportional to 235,564.50 and 515,988 is: 1,130,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,564.50 : 515,988 = 515,988 : x
  2. Step 2: Convert to fraction form
    235,564.50/515,988 = 515,988/x
  3. Step 3: Cross multiply
    235,564.50x = 515,988 × 515,988
  4. Step 4: Simplify right side
    235,564.50x = 266,243,616,144
  5. Step 5: Solve for x
    x = 266,243,616,144/235,564.50
  6. Step 6: Final answer
    x = 1,130,236.59

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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.