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Finding the Third Proportional to 252,598.50 and 492,690.09

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Solution

The third proportional to 252,598.50 and 492,690.09 is: 960,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,598.50 : 492,690.09 = 492,690.09 : x
  2. Step 2: Convert to fraction form
    252,598.50/492,690.09 = 492,690.09/x
  3. Step 3: Cross multiply
    252,598.50x = 492,690.09 × 492,690.09
  4. Step 4: Simplify right side
    252,598.50x = 242,743,528,479.38
  5. Step 5: Solve for x
    x = 242,743,528,479.38/252,598.50
  6. Step 6: Final answer
    x = 960,985.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.