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Finding the Third Proportional to 295,881.75 and 480,705.75

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Solution

The third proportional to 295,881.75 and 480,705.75 is: 780,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,881.75 : 480,705.75 = 480,705.75 : x
  2. Step 2: Convert to fraction form
    295,881.75/480,705.75 = 480,705.75/x
  3. Step 3: Cross multiply
    295,881.75x = 480,705.75 × 480,705.75
  4. Step 4: Simplify right side
    295,881.75x = 231,078,018,083.06
  5. Step 5: Solve for x
    x = 231,078,018,083.06/295,881.75
  6. Step 6: Final answer
    x = 780,980.98

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.