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Finding the Third Proportional to 403,563.75 and 606,302.25

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Solution

The third proportional to 403,563.75 and 606,302.25 is: 910,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,563.75 : 606,302.25 = 606,302.25 : x
  2. Step 2: Convert to fraction form
    403,563.75/606,302.25 = 606,302.25/x
  3. Step 3: Cross multiply
    403,563.75x = 606,302.25 × 606,302.25
  4. Step 4: Simplify right side
    403,563.75x = 367,602,418,355.06
  5. Step 5: Solve for x
    x = 367,602,418,355.06/403,563.75
  6. Step 6: Final answer
    x = 910,890.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.