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Finding the Third Proportional to 504,562.50 and 802,361.25

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Solution

The third proportional to 504,562.50 and 802,361.25 is: 1,275,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,562.50 : 802,361.25 = 802,361.25 : x
  2. Step 2: Convert to fraction form
    504,562.50/802,361.25 = 802,361.25/x
  3. Step 3: Cross multiply
    504,562.50x = 802,361.25 × 802,361.25
  4. Step 4: Simplify right side
    504,562.50x = 643,783,575,501.56
  5. Step 5: Solve for x
    x = 643,783,575,501.56/504,562.50
  6. Step 6: Final answer
    x = 1,275,924.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.