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Finding the Third Proportional to 300,260.25 and 652,792.50

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Solution

The third proportional to 300,260.25 and 652,792.50 is: 1,419,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,260.25 : 652,792.50 = 652,792.50 : x
  2. Step 2: Convert to fraction form
    300,260.25/652,792.50 = 652,792.50/x
  3. Step 3: Cross multiply
    300,260.25x = 652,792.50 × 652,792.50
  4. Step 4: Simplify right side
    300,260.25x = 426,138,048,056.25
  5. Step 5: Solve for x
    x = 426,138,048,056.25/300,260.25
  6. Step 6: Final answer
    x = 1,419,228.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.