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Finding the Third Proportional to 275,287.50 and 423,265.50

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Solution

The third proportional to 275,287.50 and 423,265.50 is: 650,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,287.50 : 423,265.50 = 423,265.50 : x
  2. Step 2: Convert to fraction form
    275,287.50/423,265.50 = 423,265.50/x
  3. Step 3: Cross multiply
    275,287.50x = 423,265.50 × 423,265.50
  4. Step 4: Simplify right side
    275,287.50x = 179,153,683,490.25
  5. Step 5: Solve for x
    x = 179,153,683,490.25/275,287.50
  6. Step 6: Final answer
    x = 650,787.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.