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Finding the Third Proportional to 282,396 and 430,215.75

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Solution

The third proportional to 282,396 and 430,215.75 is: 655,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,396 : 430,215.75 = 430,215.75 : x
  2. Step 2: Convert to fraction form
    282,396/430,215.75 = 430,215.75/x
  3. Step 3: Cross multiply
    282,396x = 430,215.75 × 430,215.75
  4. Step 4: Simplify right side
    282,396x = 185,085,591,548.06
  5. Step 5: Solve for x
    x = 185,085,591,548.06/282,396
  6. Step 6: Final answer
    x = 655,411.52

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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.