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Finding the Third Proportional to 303,576 and 653,076

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Solution

The third proportional to 303,576 and 653,076 is: 1,404,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,576 : 653,076 = 653,076 : x
  2. Step 2: Convert to fraction form
    303,576/653,076 = 653,076/x
  3. Step 3: Cross multiply
    303,576x = 653,076 × 653,076
  4. Step 4: Simplify right side
    303,576x = 426,508,261,776
  5. Step 5: Solve for x
    x = 426,508,261,776/303,576
  6. Step 6: Final answer
    x = 1,404,947.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.