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Finding the Third Proportional to 300,073.50 and 651,663

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Solution

The third proportional to 300,073.50 and 651,663 is: 1,415,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,073.50 : 651,663 = 651,663 : x
  2. Step 2: Convert to fraction form
    300,073.50/651,663 = 651,663/x
  3. Step 3: Cross multiply
    300,073.50x = 651,663 × 651,663
  4. Step 4: Simplify right side
    300,073.50x = 424,664,665,569
  5. Step 5: Solve for x
    x = 424,664,665,569/300,073.50
  6. Step 6: Final answer
    x = 1,415,202.16

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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.