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Finding the Third Proportional to 566,635.50 and 855,409.50

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Solution

The third proportional to 566,635.50 and 855,409.50 is: 1,291,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,635.50 : 855,409.50 = 855,409.50 : x
  2. Step 2: Convert to fraction form
    566,635.50/855,409.50 = 855,409.50/x
  3. Step 3: Cross multiply
    566,635.50x = 855,409.50 × 855,409.50
  4. Step 4: Simplify right side
    566,635.50x = 731,725,412,690.25
  5. Step 5: Solve for x
    x = 731,725,412,690.25/566,635.50
  6. Step 6: Final answer
    x = 1,291,351.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.