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Finding the Third Proportional to 295,870.50 and 480,687.75

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Solution

The third proportional to 295,870.50 and 480,687.75 is: 780,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,870.50 : 480,687.75 = 480,687.75 : x
  2. Step 2: Convert to fraction form
    295,870.50/480,687.75 = 480,687.75/x
  3. Step 3: Cross multiply
    295,870.50x = 480,687.75 × 480,687.75
  4. Step 4: Simplify right side
    295,870.50x = 231,060,713,000.06
  5. Step 5: Solve for x
    x = 231,060,713,000.06/295,870.50
  6. Step 6: Final answer
    x = 780,952.18

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Why These Related Problems?

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