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Finding the Third Proportional to 442,783.75 and 917,074.25

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Solution

The third proportional to 442,783.75 and 917,074.25 is: 1,899,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,783.75 : 917,074.25 = 917,074.25 : x
  2. Step 2: Convert to fraction form
    442,783.75/917,074.25 = 917,074.25/x
  3. Step 3: Cross multiply
    442,783.75x = 917,074.25 × 917,074.25
  4. Step 4: Simplify right side
    442,783.75x = 841,025,180,013.06
  5. Step 5: Solve for x
    x = 841,025,180,013.06/442,783.75
  6. Step 6: Final answer
    x = 1,899,403.90

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.