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Finding the Third Proportional to 382,258.50 and 607,288.50

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Solution

The third proportional to 382,258.50 and 607,288.50 is: 964,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,258.50 : 607,288.50 = 607,288.50 : x
  2. Step 2: Convert to fraction form
    382,258.50/607,288.50 = 607,288.50/x
  3. Step 3: Cross multiply
    382,258.50x = 607,288.50 × 607,288.50
  4. Step 4: Simplify right side
    382,258.50x = 368,799,322,232.25
  5. Step 5: Solve for x
    x = 368,799,322,232.25/382,258.50
  6. Step 6: Final answer
    x = 964,790.38

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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.