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Finding the Third Proportional to 286,480.50 and 607,111.88

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Solution

The third proportional to 286,480.50 and 607,111.88 is: 1,286,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,480.50 : 607,111.88 = 607,111.88 : x
  2. Step 2: Convert to fraction form
    286,480.50/607,111.88 = 607,111.88/x
  3. Step 3: Cross multiply
    286,480.50x = 607,111.88 × 607,111.88
  4. Step 4: Simplify right side
    286,480.50x = 368,584,828,766.02
  5. Step 5: Solve for x
    x = 368,584,828,766.02/286,480.50
  6. Step 6: Final answer
    x = 1,286,596.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.