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Finding the Third Proportional to 282,433.50 and 430,265.25

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Solution

The third proportional to 282,433.50 and 430,265.25 is: 655,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433.50 : 430,265.25 = 430,265.25 : x
  2. Step 2: Convert to fraction form
    282,433.50/430,265.25 = 430,265.25/x
  3. Step 3: Cross multiply
    282,433.50x = 430,265.25 × 430,265.25
  4. Step 4: Simplify right side
    282,433.50x = 185,128,185,357.56
  5. Step 5: Solve for x
    x = 185,128,185,357.56/282,433.50
  6. Step 6: Final answer
    x = 655,475.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.