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Finding the Third Proportional to 286,593.75 and 607,323.75

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Solution

The third proportional to 286,593.75 and 607,323.75 is: 1,286,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,593.75 : 607,323.75 = 607,323.75 : x
  2. Step 2: Convert to fraction form
    286,593.75/607,323.75 = 607,323.75/x
  3. Step 3: Cross multiply
    286,593.75x = 607,323.75 × 607,323.75
  4. Step 4: Simplify right side
    286,593.75x = 368,842,137,314.06
  5. Step 5: Solve for x
    x = 368,842,137,314.06/286,593.75
  6. Step 6: Final answer
    x = 1,286,985.98

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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.