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Finding the Third Proportional to 418,087.50 and 617,290.50

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Solution

The third proportional to 418,087.50 and 617,290.50 is: 911,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,087.50 : 617,290.50 = 617,290.50 : x
  2. Step 2: Convert to fraction form
    418,087.50/617,290.50 = 617,290.50/x
  3. Step 3: Cross multiply
    418,087.50x = 617,290.50 × 617,290.50
  4. Step 4: Simplify right side
    418,087.50x = 381,047,561,390.25
  5. Step 5: Solve for x
    x = 381,047,561,390.25/418,087.50
  6. Step 6: Final answer
    x = 911,406.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.